1.

Determine whether the relation is a function. Give the domain and the range for the relation.

{(2,44), (6,6), (9,9)}

2.

Determine whether the relation is a function. Give the domain and the range of the relation.

{(2,1), (2,7), (7,1), (7,7)}

3.

Determine whether the following relation is a function. Give the domain and range for the relation.

{(7, 7),(9,9),(- 9 ,- 9) ,(- 2,- 2)}

Does the given relation represent afunction?

4.

Find the indicated function values for the functionf(x)=5x2+4x5

a.f(0)b.f(6)c.f(2)d.f(b)e.f(3a)

5.

The function below is defined by two equations. The equation in the first row gives the output for negative numbers in the domain. The equation in the second row gives the output fornon-negative numbers in the domain. Find the indicated function values.

f(x) =

{2x+2	ifx<0
{6x+4	ifx0

1. f(8) b.f(0) c.f(8) d.f(100)+f(100)

6.

Graph the givenfunctions, f andg, in the same rectangular coordinate system. Select integers forx, starting with-2 and ending with2, and describe how the graph of g is related to the graph of f.

f(x)=x2,g(x)=x21

Complete the ordered pairs in the table below for

f(x)=x2.

x	(x, f(x))
2
1
0
1
2

Complete the ordered pairs in the table below for

g(x)=x21.

x	(x, g(x))
2
1
0
1
2

to graph the equation. Use a solid graph forf(x) and a dashed graph forg(x).

Describe how the graph of g is related to the graph of f. Fill in the answer box to complete the choice.

1. The graph of g is the graph of f shifted up by

1. The graph of g is the graph of f shifted down by

7.

Use the vertical line test to determine if y is a function of x in the graph.

1. Is y a function ofx?

8.

Use the vertical line test to determine if y is a function of x in a graph.

a. Is y a function ofx?

9.

Use the graph of f at the right to complete each of the parts(a) through(h).

a. Find the domain of f.

The domain of f is

.

( answer in intervalnotation.)

b.Findthe range of f. The range of f is

( answer in intervalnotation.)

c.Findf(1).f(1) =

d.Findthe values of x for which

f(x) = 8.

The values of x are

(Use a comma to separate answers asneeded.)

e.Find the points where the graph of f crosses thex-axis.

The points are

(Type ordered pairs. Use a comma to separate answers .)

f.Find the point where the graph of f crosses they-axis.

The point is

(Type an orderedpair.)

g.Find values of x for which f(x) <0.

The values of x are

( answer in intervalnotation.)

h.Is f(7)positive ornegative?

10.

Find the domain of the function.f(x)=15x+5

Determine the domain off(x)

11.

Find the domain of the function.f(x)=15/x+7

a.What is the domain off?

12.

Finda.(f+g) (x)b.(f+g) (5).

f(x)=2x2x+3,g(x)=x5

13.

f(x)=x2+6x andg(x)=7x

Find(fg) (x)and(fg)(3).

14.

Letf(x)=x25xandg(x) =6x

Find(fg) (2).

15.

Letf(x)=x2+6xandg(x)=1x.

Find(f/g) (x)and(f/g) (8)

1.

Determine whether the relation is a function. Give the domain and the range for the relation.

{(2,44), (6,6), (9,9)}

2.

Determine whether the relation is a function. Give the domain and the range of the relation.

{(2,1), (2,7), (7,1), (7,7)}

3.

Determine whether the following relation is a function. Give the domain and range for the relation.

{(7, 7),(9,9),(- 9 ,- 9) ,(- 2,- 2)}

Does the given relation represent afunction?

4.

Find the indicated function values for the functionf(x)=5x2+4x5

a.f(0)b.f(6)c.f(2)d.f(b)e.f(3a)

5.

The function below is defined by two equations. The equation in the first row gives the output for negative numbers in the domain. The equation in the second row gives the output fornon-negative numbers in the domain. Find the indicated function values.

f(x) =

{2x+2	ifx<0
{6x+4	ifx0

1. f(8) b.f(0) c.f(8) d.f(100)+f(100)

6.

Graph the givenfunctions, f andg, in the same rectangular coordinate system. Select integers forx, starting with-2 and ending with2, and describe how the graph of g is related to the graph of f.

f(x)=x2,g(x)=x21

Complete the ordered pairs in the table below for

f(x)=x2.

x	(x, f(x))
2
1
0
1
2

Complete the ordered pairs in the table below for

g(x)=x21.

x	(x, g(x))
2
1
0
1
2

to graph the equation. Use a solid graph forf(x) and a dashed graph forg(x).

Describe how the graph of g is related to the graph of f. Fill in the answer box to complete the choice.

1. The graph of g is the graph of f shifted up by

1. The graph of g is the graph of f shifted down by

7.

Use the vertical line test to determine if y is a function of x in the graph.

1. Is y a function ofx?

8.

Use the vertical line test to determine if y is a function of x in a graph.

a. Is y a function ofx?

9.

Use the graph of f at the right to complete each of the parts(a) through(h).

a. Find the domain of f.

The domain of f is

.

(answer in intervalnotation.)

b.Findthe range of f. The range of f is

( answer in intervalnotation.)

c.Findf(1).f(1) =

d.Findthe values of x for which

f(x) = 8.

The values of x are

(Use a comma to separate answers asneeded.)

e.Find the points where the graph of f crosses thex-axis.

The points are

(Type ordered pairs. Use a comma to separate answers .)

f.Find the point where the graph of f crosses they-axis.

The point is

(Type an orderedpair.)

g.Find values of x for which f(x) <0.

The values of x are

( answer in intervalnotation.)

h.Is f(7)positive ornegative?

10.

Find the domain of the function.f(x)=15x+5

Determine the domain off(x)

11.

Find the domain of the function.f(x)=15/x+7

a.What is the domain off?

12.

Finda.(f+g) (x)b.(f+g) (5).

f(x)=2x2x+3,g(x)=x5

13.

f(x)=x2+6x andg(x)=7x

Find(fg) (x)and(fg)(3).

14.

Letf(x)=x25xandg(x) =6x

Find(fg) (2).

15.

Letf(x)=x2+6xandg(x)=1x.

Find(f/g) (x)and(f/g) (8)