Calculus 4.3: Rational Equations, Inequalities, Models, and ... - Quia

Pre-Calculus 4.3: Rational Equations, Inequalities, Models, and Applications

3)

MULTIPLE CHOICE. Choose the one alternative that

best completes the statement or answers the question.

The graph of a rational function y = f(x) is given below.

Use the graph to give the solution set of (a) f(x) = 0,

(b) f(x) < 0, and (c) f(x) > 0. Use set notation for part (a)

and interval notation for parts (b) and (c).

1)

A) (a) {0} (b) (- , 0] (c) [0, )

B) (a) {0} (b) (- , 0) (c) (0, )

C) (a) {0,- , } (b) (- , 0) (c) (0, )

D) (a) {0} (b) (- , 1.7) (1.7, ) (c) (-1.7,

1.7)

A) (a)

B) (a)

C) (a)

D) (a)

{3} (b) (- , -3) (c) (-3, )

{3} (b) (-3, 3) (c) (- , -3) (3,

{3, -1} (b) (- , -3) (c) (-3, )

{3} (b) (-3, ) (c) (- , -3)

SHORT ANSWER. Write the word or phrase that best

completes each statement or answers the question.

)

Solve the rational equation.

x+8

=0

4)

x-9

2)

5)

6)

A) (a) { } (b) (2, ) (c) (- , 2)

B) (a)

(b) (2, ) (c) (- , 2)

C) (a)

(b) (- , 2) (c) (2, )

D) (a) {- , } (b) (2, ) (c) (- , 2)

7)

1

x+6

=0

x-7

5

(x - 6) 2

=0

x-6

= -4

x-3

8)

-5

6

=x+1

5

Solve the rational inequality.

-4

>0

9)

-2x - 7

10)

11)

2

(x + 7) 2

9

(x + 6) 2

7

3

>

x+1 x+1

16)

4

x+5

2

x-2

Find all complex solutions for the equation.

-15

7

+

+ 2=0

17)

x

x2

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