Function+Questions

1.Define “function” and “relation”.

2. State the inverse of the function f(x) = 2x + 9

3. List 10 attributes of the exponential function below. Assume e=2.

[|ExponentialR.png]

4. List 10 attributes of the absolute value function below.

[|alg2_absval.gif]

5. Describe how the f(x) = 2f(4x-3) – 9 differs from the original function f(x).

6. Are the functions f(x) = 2x-9 and f(x) = 1/2x + 9 inverses of one another? Why/Why not?

7. State the equation of a parabola, f(x) = x^2, that has been compressed to a third its size, translated 7 units left, and translated 9 units down.

8. Graph f(x)= -(2x-3)^3+4 and state all transformations from the function f(x)=x^3

9.Graph f(x)= 1/4(-4|x-7|) and give 10 attributes of this function.