Show:
Evaluating Functions
Find the Domain
Transformations
Even and Odd
Compound, Composite and Inverse Functions
100
Evaluate the function f(x) = Square root of (x +9) divided by (x squared minus 81) for f(7)
What is - 1/8
100
Name the domain of (5x + 5) divided by (3x -9).
What is all real numbers except x = 3.
100
Identify the parent function for f(x) =-3 [x-2] + 4
What is the step function, or greatest integer function.
100

What are the formulas to find an even and odd function

Even: f(x)= f(-x) Odd: -f(x)= f(-x)

100
For f(x) = 3x^2 -7 and g(x) = -x^2-4x +5 Find f(g(x)) (without simplifying)
What is 3 (-x^2 -4x +5)^2 -7 ?
200
Evaluate the function f(x) = square root of (x + 9) divided by (x squared - 81) for f(-5)
What is -1/28?
200
Find the domain of x squared - 6 in interval notation.
What is ( -infinity, infinity)
200

Identify the parent function for f(x) = -2 ( x-4)^3

What is the cubic function, or x^3?

200

Is the following function even, odd or neither f(x)=4x^2 +7x

The Function is Odd

200
Find (fg)(x) for f(x) = 1/x and g(x) = 2x
What is 2?
300
Evaluate the function f(x) = square root of (x+9) divided by ( x squared -81) for f(x-9)
What is square root of x divided by ( x squared -18X)?
300
Find the domain of f(x) = 10 - the square root of (3-x)
What is x less than or equal to 3?
300
What change can you make in the equation to reflect the graph of f(x) = x^2 over the x axis?
What is a negative sign in front of x^2?
300
Using algebra, show f(x) = X^2 is an even function.
What is f(-x) = (-x)^2 = x ^2?
300
Find the inverse function of f(x) = x^3 + 8
What is the cubed root of (x-8)?
400
Evaluate the function f(x) = x squared + 1 for f(t + 1)
What is t squared + 2t + 2?
400
Find the domain of x divided by ( X^2 + 1).
What is all real numbers?
400
What changes in the graph of the function occur when the equation is changed from f(x) = x^3 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
400
Determine if the function f(x) = 2x^6 + 5x^4 - x^2 is even, odd or neither.
What is even?
400
Find the inverse function of f(x) = abs (x^2-3) + 6
What is no inverse exists.
500
Evaluate the piecewise function: f(x) = 2x + 1 for x less than or equal to -1 and x squared + 2 for x greater than -1 for f(2)
What is 6?
500
Find the domain of the absolute value of ( x + 1)
What is all real numbers?
500
Name the new equation for g(x) from the parent function f(x) = abs (x) if it undergoes a shift of 4 up, horizontal shift of 2 to the left and a horizontal stretch of 2.
What is g(x) = 1/2 abs(x+2) + 4?
500
Determine if the function f(x) = abs(x + 5) is even, odd or neither?
What is neither?
500
Explain how to verify that two functions are inverses of one another using algebra.
What is find the two combinations of composite functions, simplify and check both are equal to x? f(g(x)) = g(f(x) = x