Function Notation and Nonlinear Functions

I will be able to evaluate a function based on a graph.

I will be able to graph absolute value and quadratic functions by transformations.

I will be able to evaluate a nonlinear function based on the equation.

Use the graph at the right to evaluate the following (#1-5).

1. f(1) = _____ 2. f(4) = _____

3. f(0) = _____ 4. If f(x) = 9, x = ___

5. If f(x) = -5, x = _____

Use the graph at the right to evaluate the following (#6-8).

6. f(1) =_____

7. Find all values of x such that f(x) = -5.________

8. f(4)= ______

Graph #9-12.

9. g(x) = -2x2 10. f(x) =

Description :___________________ Description:___________________

11. f(x)= (x+3)2 - 1 12. f(x) =

Description :___________________ Description:___________________

Match each graph with the equation it represents. (#13-16).

13. h(x) = 14. g(x) = 15. f(x)= 16. h(x)=

____________ ____________ ____________ ____________

a. b. c. d.

The nonlinear function used to calculate the area of a circle is _______________.

State all answers in terms of Õ.

17. Find the area of a circle whose radius is 12 cm. ____________

18. Find the area of a circular garden whose diameter is 36 ft.____________

The nonlinear function used to find the volume of a cube is _____________.

19. Find the volume of a cube whose side measures 3cm. ___________

20. Find the volume of a cube if the area of one side is 25m2. ___________