Term
The function f(x) = x6+1 is
a.odd
b.even
c.both
d.neither |
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Definition
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Term
| Which function is never a continuous function? |
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Definition
| Greatest integer function |
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Term
What formula would you use to find the value of a bank account in the year 2042, if it is opened with $400 in the year 2000 and pays 6% interest. Assume interest is compounded semiannually.
What is the value in 2042? |
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Definition
A(t) = P(1 + r/n)nt
(42) = 400 (1 + .06/2)(2*42)
$4,790.57 |
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Term
| Describe the type of symmetry found in an even function |
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Definition
| Line symmetry with respect to the y-axis |
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Term
| What is the difference between a power function and an exponential function? |
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Definition
They are distinguished by the location of the variable.
In a power function the variable is the base.
In an exponential function the variable is the exponent. |
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Term
| Give the rules for translating a graph horizontally |
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Definition
f(x) - f(x+k) shifts f(x) 'k' units horizontally.
If k>0, the shift is to the right.
If k<0, the shift is to the left.
If you need to review this information more thoroughly watch "Vertical and horizontal graph transformations" by PatrickJMT on Youtube. |
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Term
| Define exponential growth and exponential decay |
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Definition
Exponential growth means that the value of the function increases exponentially as the value of x increases.
Exponential decay means that the value of the function decreases exponentially as x increases. |
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Term
Exponential growth or decay?
y= 2/5x |
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Definition
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Term
Exponential growth or decay?
y= 2x |
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Definition
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Term
Exponential growth or decay?
y= 2-x |
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Definition
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Term
| Describe the type of symmetry found in an odd function. |
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Definition
| Point symmetry with respect to the origin |
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Term
Find f(1/2) for
A. f(x) = 2x2
B. f(x) = x/x+5 |
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Definition
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Term
Without graphing, tell where the graph of the given equation would translate from the standard position
A) ιxι - 7
(the absolute value of x, minus 7)
B) ιx +4ι
(the absolute value of x +4)
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Definition
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Term
| Be sure you can graph piece functions, aboslute value functions and greatest integer functions! Look back over lesson 3.3! |
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Definition
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Term
| Functions that have no gaps, holes or jumps are know as ____________________ functions. |
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Definition
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Term
| In general, do functions have to be even or odd or can they be neither? |
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Definition
| Functions in general need not be even or odd. A function in which f(-x) ≠ f(x) and f(-x) ≠ -f(x), is neither even nor odd. (text page 108-109) |
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Term
| Do exponential functions have zeros? |
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Definition
| No. The graph of an exponential functions gets close to the x-axis but never touches it. Since the x-axis is horizontal, it is a horizontal asymptote. |
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Term
| What is the value of the number e (the euler number)? |
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Definition
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