# Function Notation and Nonlinear Functions

```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
Description :___________________
10. f(x) = 4 x  1
Description:___________________
11. f(x)= (x+3)2 - 1
Description :___________________
12. f(x) = 2 x  6  3
Description:___________________
Match each graph with the equation it represents. (#13-16).
13. h(x) = x  2
14. g(x) = x  2
15. f(x)= x  2
____________
____________
____________
16. h(x)= x  2
____________
a.
d.
b.
c.
The nonlinear function used to calculate the area of a circle is _______________.
State all answers in terms of .
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. ___________
```