Match Maker
Shredding Slope
Even you can be Odd
Transformations
This and That
100
Symmetric across the y-axis
Even Function
100
Give the formula for finding the average rate of change.
m_sec=frac{f(b)-f(a)}{b-a}
100
Determine if the function is even, odd or neither.
f(x)=x^4-3x^2
Even
100
What is the shape of
f(x)=x^2
Parabola or "U"
100
Define the word continuous in terms of what you know about functions.
Smooth, unbroken line that can be traced without picking up the pencil
200
A "local high point" on a graph
Relative Maximum
200
Give the formula for the difference quotient.
frac{f(x+h)-f(x)}{h}
200
Determine if the function is even, odd or neither.
x^3-2x^2-3x
Neither
200
Using interval notation, state the domain and range of
f(x)=x^2
D: (- oo, oo)
R: [0,oo)
200
Sometimes functions are discontinuous. Name the three types of discontinuities we have studied.
Hole, Jump, Infinite
300
A break or hole in a graph
Discontinuity
300
Compute the average rate of change for
f(x)=x^2-5x+2, [1,4]
m_sec=0
300
Determine if the function is even, odd or neither.
|x|+1
Even
300
Using set notation, state the domain and range of
f(x)=x^2
{x|x \in \mathbb{R}}
{y|y>=0}
300
Name the test that can be used to check if a graph is a function. Name the second test used to see if a function has an inverse. If a function passes these tests, the function is said to be ______________.
(There are 3 answers to this question, you must have all 3.)
Vertical line test
Horizontal line test
One-to-one
400
Measures how a function changes over an interval
Average rate of change
400
Compute the difference quotient for the function
f(x)=2x^2+x+1
4x+2h+1
400
Determine if the function is even, odd or neither.
f(x)=frac{8}{x}
Odd
400
Transform the parent function given to reflect over the x-axis, shift 3 down and 2 left. Name it F(x).
f(x)=x^2
F(x)=-(x+2)^2-3
400
Find
f(5)
-16
500
Used to find the slope between two function values
Difference Quotient
500
What does the difference quotient represent?
It calculates the slope of the secant line for points on the function.
500
Determine if the function is even, odd or neither.
f(x)=|x+1|
Neither
500
The absolute value parent function has transformations applied such that it creates an absolute maximum at (-2,7). Write an equation that could represent this new function.
f(x)=-|x+2|+7
500
Find
f(2k-1)
-4k^2+20