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Unit 1 Function Transformation and Piecewise
Unit 1 Vocabulary Terms on Function Transformations and Piecewise Functions
27
Mathematics
Not Applicable
06/15/2023

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Term
Increasing Function Image
Definition
[image]
Term
Increasing Function
Definition
Function when the y value of the function goes up as the x value goes up.
Term
Decreasing Function Image
Definition
[image]
Term
Decreasing Function
Definition
Function when the y value of the function goes down as the x value goes up.
Term
Constant Interval
Definition
Part of the function where the y value of the function stays the same as the x value increases.
Term
Domain
Definition
The set of all x values of a function.
Term
Range
Definition
The set of all y values of the function.
Term
Transformation
Definition
Changing the shape of a figure by turning, flipping, sliding, or resizing.
Term
Interval
Definition
All the values between two given values.
Term
Interval Notation
Definition
A way to represent a set of real numbers by using the numbers that bound them.
Term
Maximum
Definition
The point at which a functions value is the greatest. (Greatest y value)
Term
Minimum
Definition
The point at which a functions value is the smallest. (Lowest y value)
Term
Continuous Function
Definition
A function that is not broken at any point.
Term
Concavity
Definition
Relates to the rate of change of a functions derivative.
Term
Factor
Definition
A number of algebraic expression that divides another number or expression evenly.
Term
Zero of a function
Definition
A value of x that makes the function f(x) equal to zero. Also called the root or x-intercept of a function.
Term
Piecewise Function
Definition
A function that behaves different based on the input (x) value.
Term
Piecewise Function Image
Definition
[image]
Term
Parent Function
Definition
The simplest form of a function. It shows the basic shape of a graph without any transformations.
Term
Even Function
Definition
A function where its graph is unchanged under reflection in the y-axis.
Term
Odd Function
Definition
A function where its graph is reversed under reflection in the y-axis.
Term
Slope
Definition
The rate of change of a function. Signifies the direction and steepness of a line.
Term
Asymptotes
Definition
A straight line or cure that acts as the limit of another line or curve. A place where the function approaches but never touches.
Term
Slope-Intercept Form
Definition
Equation of a line that signifies the rate of change and where the line crosses the y-axis.
Term
Transformational Form
Definition
Also called Vertex Form. This equation gives the location of which the parent function shifts.
Term
Function
Definition
An expression, rule, or law that defines a Describes the relationship between one variable (the independent variable) and another variable (the dependent variable).
Term
Parabola
Definition
A plane curve which is mirror-symmetrical and is approximately U- shaped.
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