**Preclass 2 – Functions**

**Name: _____________________**

**1. **Find the domain and range of the relation.

{(5, -3), (-2, 5), (4, 0), (2, 7)}

2. Find the domain and range of the relation. y = 2x + 7

3. Find the domain and range of the relation. y = 5

4. Find the domain and range of the relation. *y=**2x+7*

5. Determine whether a relation is a function.

{(-7, 5), (6, 0), (-2, 7)}

6. Determine whether a relation is a function.

{(7, 5), (6, 0), (7, -100)}

7. Determine whether the relation defines y as a function of x. -4x^{2} = y +5

8. Determine whether the relation defines y as a function of x. -4x = 2y^{2} – 7

9. Determine whether a relation defines y as a function of x. y = -3x +5

10. Given *f**x**=-5x+2*. Find f(-1), f(2), f(u – 1), f(2x+3)

11. Given *f**x**=**x-7**x**2**+3x-10*. Find f(5), and f(2).

12. Given *f**x**=**x-11**-7*. Find f(11), f (12), f(13), f(20) and f(2).

13. Understand and use piecewise functions.

a) *f**x**=**4x+3 if x<0*

*-5x+2*

if x≥0

if x≥0

f(-3), f(0), f(2)

b) *f**x**=**3x+1 if x≤2**-2x**2**+3x if x>2*

f(-3), f(0), f(2)

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