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| What do curly brackets symbolize? { } |
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Definition
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Definition
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| What are natural numbers? |
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Definition
| Positive integers (not including 0) |
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| What is in the set "Z" or "J"? |
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Definition
| All integers (positive or negative) |
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Definition
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| What are the rational numbers? |
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Definition
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Term
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Definition
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| What are the real numbers? |
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Definition
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| What does this ∅ symbolize? |
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Definition
| ∅ is the symbol for the null or empty set |
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Term
| What is the symbol for infinity? |
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Definition
∞
Also: ← → symbolizes that the number line goes on to infinity. |
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Definition
A union B
All of the things that are in A AND B |
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Definition
A intersection B
All of the common things in A and B |
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| Which symbols are used to show that the numbers are included? (Brackets and dot.) |
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Definition
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Term
| Which symbols are used to show that the numbers are not included? (Brackets and dot.) |
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Definition
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Term
| What does D stand for and how is it represented on an x and y axis? |
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Definition
| D stands for discrete and is represented by dots |
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Term
| What does C stand for and how is it represented on an x and y axis? |
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Definition
| C stands for continuous and is represented by a line |
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Term
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Definition
An ordered set of pairs.
ORDER MATTERS. |
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Term
| What is the domain of a relation? |
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Definition
The set of first members (or x-values of the ordered pairs).
Allowable input values. |
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Term
| What is the range of a relation? |
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Definition
The set of second members (or y-values of the ordered pairs).
Legit values produced by the function from the input (or x) values. |
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Term
What is the domain of:
R = { (1,4),(2,7),(3,10),(4,13) } ? |
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Definition
The set of first members.
{1,2,3,4} |
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Term
What is the range of:
R = { (1,4),(2,7),(3,10),(4,13) } ? |
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Definition
The set of second members.
{4,7,10,13} |
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Term
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Definition
| A function is a relation where each x-value can produce only one y-value. |
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Term
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Definition
"Is an element of."
eg. A ∈ Al means:
A is an element of the set Alphabet. |
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Definition
"Is not an element of."
eg. B ∉ V means:
B is not an element of the set Vowels. |
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Definition
"Is a subset of."
eg. V ⊂ Al means:
The set of Vowels is a subset of the set of Alphabet. |
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Definition
"Excluding."
eg. A \ B means:
All that is in set A excluding what is in set B. |
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Definition
"Is not a subset (or is not contained in)."
eg. R ⊄ Al means:
The set of Real numbers is not a subset of the Alphabet. |
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Term
| What to forms can linear functions be in? |
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Definition
| General and slope-intercept form |
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Term
| What is slope-intercept form? (Linear function) |
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Definition
A linear function arranged:
y = mx + c
(m = gradient, c = y-intercept) |
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Term
| What is general form of a linear function? |
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Definition
A linear function arranged:
ax + by + c = 0 |
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Term
| Which pronumeral usually stands for gradient? |
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Definition
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Term
| Which pronumeral usually stand for the y-intercept? (When in slope-gradient form.) |
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Definition
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Term
| What is the gradient of a line? |
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Definition
| The measure of its steepness or slope (m) |
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Term
| How are gradients measured? |
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Definition
| As we move along from left to right |
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Term
| What does a positive gradient indicate? |
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Definition
| That the line is rising as it goes from left to right |
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Term
| What does a negative gradient indicate? |
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Definition
| That the line is falling as it goes from left to right |
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Term
| The higher the positive gradient... |
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Definition
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| The higher the negative gradient... |
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Definition
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Term
| The larger the number of the gradient (not thinking about the + or - in front of it)... |
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Definition
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Term
| What does a gradient of 0 indicate? |
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Definition
| The line is horizontal or flat |
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Term
| What does an undefined gradient indicate? |
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Definition
| The line is vertical or up/down |
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Term
| Formula for finding out the gradient |
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Definition
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Term
| How do you find out the gradient of a line, when given the degree of the angle made with the line and the positive x-axis? |
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Definition
tan(?)
? = degree of the angle |
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Term
| What do parallel lines have in common? |
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Definition
The same gradient
(They also head in the same direction) |
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Term
| What does m1m2 equal when m1 and m2 are perpendicular slopes? |
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Definition
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Term
| Perpendicular slopes are... |
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Definition
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Term
| What do you need to know to find the equation of a line? |
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Definition
| One point on the line (an x-value and a y-value) AND the gradient |
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Term
| Formula for finding the gradient of a line |
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Definition
y - y1 = m(x - x1)
(Where y and x = the variables
y1 = the y-value of the point that is known
x1 = the x-value of the point that is known
m = gradient) |
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Term
| What is general form of a quadratic function? |
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Definition
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Term
| What is turning point form of a quadratic function? |
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Definition
y = a(x - h)^2 + k
(a ≠ 0) |
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Term
| What is the curvy bit or graphed line of a quadratic function called? |
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Definition
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Term
| Which six features must be considered when sketching parabolas (quadratic functions)? |
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Definition
1. y-intercept
2. x-intercept (if there is one)
3. Axis of symmetry
4. Turning point
5. Concavity
6. Range |
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Term
| How do you find the y-intercept when sketching a quadratic function? |
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Definition
| Substitute in x = 0 and solve for y |
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Term
| How do you find the y-intercepts when sketching a quadratic formula? |
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Definition
Substitute in y = 0 and solve for x
Solving for x can be done by factorising, using the quadratic formula, or completing the square |
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Term
| What is the axis of symmetry in a quadratic equation graph? |
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Definition
| A line which acts to "mirror" the two halves of the parabola |
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Term
| Which pronumeral stands for the axis of symmetry in a quadratic equation graph when the equation is in turning point form? |
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Definition
x = h
(x is the axis of symmetry) |
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Term
| Which pronumeral stands for the axis of symmetry in a quadratic equation graph when the equation is in general form? |
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Definition
x = -b/2a
(x is the axis of symmetry) |
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Term
| Which pronumerals stand for the turning point in quadratic functions (from turning point form)? |
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Definition
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Term
| How do you convert quadratic functions from general form to turning point form? |
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Definition
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Term
| How do you tell if the parabola goes upwards or downwards in a quadratic function? |
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Definition
If the coeffecient of x is positive, the parabola goes upwards
If the coeffecient of x is negative, the parabola goes downwards |
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Term
| What is the range of an upwards concave quadratic function? |
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Definition
[k,∞)
(k, as in the k from turning point form and the range (y-value) of the turning point) |
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Term
| What is the range of a downwards concave quadratic function? |
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Definition
(-∞, k]
(k, as in the k from turning point form and the range (y-value) of the turning point) |
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Term
What does b indicate when a quadratic function is in general form?
(ax^2 + bx + c = y) |
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Definition
| The gradient of the line at the y-intercept |
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Term
What does c indicate when a quadratic function is in general form?
(ax^2 + bx + c = y) |
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Definition
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Term
What does a indicate when a quadratic function is in general form?
(ax^2 + bx + c = y) |
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Definition
Whether the parabola is concave up (smiley) or down (frowny).
If a>0, the parabola is a smiley.
If a<0, the parabola is a frowny. |
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Term
| What does the discriminant (b^2 - 4ac) tell us when a quadratic function is in general form?(ax^2 + bx + c = y) |
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Definition
How many x-intercepts there are.
If ∆>0, two x-ints.
If ∆=0, one x-int (a bounce).
If ∆<0, no x-ints. |
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