Misc Functions
Domain and Range
Transformations and compositions
Even and Odd
100
What is the value of f(1)?
-3
100
Find the domain of f(x) = -|x -5|
(-∞, ∞)
100
What changes in the graph of the function occur when the equation is changed from f(x) = x3 to
g(x) = 2(x - 4)3 + 5 Name all changes.
What is 1) vertical stretch of 2 2) horizontal shift of 4 3) vertical shift up of 5
100
Fill in the blank: An even function's graph is symmetric with respect to _________________.
What is the y-axis?
200
What is the value of f(f(-1)) ?
2
200
Find the range of f(x) = 3x2-7
What is [ -7,∞ )
200
Sketch the function f(x)= - (x - 2)3
See board
200
Fill in the blank: An odd function's graph is symmetric with respect to the ___________________.
What is the origin?
300
Given the piecewise function below, find f(-2)
3
300
Find the domain of
(-∞, 3]
300
Name the new equation for g(x) from the parent function f(x) = |x| if it undergoes a shift of 4 up, horizontal shift of 2 to the left and a vertical stretch of 2.
What is g(x) = 2|x+2| + 4?
300
Is f(x) odd, even or neither?
f(x) = 1/x
What is odd
400
Name 3 of the parent functions that are always increasing
What is x3, x,
root(3)x sqrt(x)
400
Find the domain of
(x + 2)/(x + 3)
What is (-∞, -3) U (-3, ∞)
400
Find f(g(-1)) given
f(x) = -1/(x - 3)
g(x) = -x^2
What is 1/4
400
Determine if the function f(x) = 2x6 + 5x4 - x2 is even, odd or neither.
What is even?
500
What parent functions have a range of [0, ∞) ?
|x|, sqrt(x)
500
Find the domain of f(x)=x/(x2+1)
What is all real numbers?
500
For f(x) = 3x2 -7 and g(x) = x + 5 Find f(g(x))
3x^2 + 30x+68
500
If f(x) is an odd function and contains the point
(-5, 11), what other point must be on f(x)
(5, -11)