Precalc Test Review 2

TEST REVIEW PRECALCULUS

Name___________________________________

OPEN ENDED QUESTIONS. Answer the following questions and show all necessary work to receive full credit.

Graph the pair of functions on the same plane. Use a dashed line for g(x).1) f(x) = x3 , g(x) = (x + 5)3 1)

2) f(x) = x , g(x) = -2 x 2)

1

3) f(x) = x , g(x) =13

x + 6 - 4 3)

Write the equation of the graph after the indicated transformation(s).4) The graph of y = x is translated 9 units to the right. 4)

5) The graph of y = x2 is translated 4 units to the left and 5 units downward. 5)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

6) The graph of y = x is reflected across the y-axis. This graph is then vertically stretched by a factorof 8.4. Finally, the graph is shifted 3 units downward.

6)

A) f(x) = 8.4 -x - 3 B) f(x) = 3 -x - 8.4C) f(x) = 8.4 -x + 3 D) f(x) = -8.4 x - 3

2

7) The graph of y = x is vertically stretched by a factor of 2.4. This graph is then reflected across thex-axis. Finally, the graph is shifted 0.32 units downward.

7)

A) f(x) = -2.4 x - 0.32 B) f(x) = 2.4 -x - 0.32C) f(x) = 2.4 x - 0.32 D) f(x) = 2.4 x - 0.32

Determine whether the function is even, odd, or neither.8) f(x) = 2x2 + 4 8)

A) Odd B) Even C) Neither

9) f(x) = -8x3 + 3x 9)A) Neither B) Odd C) Even

10) f(x) = -2x4 + 4x - 3 10)A) Odd B) Neither C) Even

Write an inequality whose solution set is the interval.11) (-5, 1) 11)

A) -5 < x < 1 B) -5 < x > 1 C) -5 x 1 D) -5 > x > 1

12) (1, ) 12)A) x 1 B) x < 1 C) x 1 D) x > 1

3

Write the solution set in interval notation.13) x 5 13)

A) (- , 5) B) (- , 5] C) [ 5, ) D) ( 5, )

Solve the inequality. Write the solution set using interval notation and graph it.14) -4(6x + 14) < -28x - 32 14)

A) (-28, )

B) (6, )

C) (- , -28)

D) (- , 6)

4

Solve the inequality by reading the graph.15) 4x - 3 2x + 1

y = 2x + 1 y = 4x-3

15)

A) [2, ) B) (- , 2] C) (- , 2) D) (2, )

Solve the compound inequality. Write the solution set using interval notation and graph it.16) -7 < -3x + 2 5 16)

A) [-3, 1) B) (-1, 3]

C) (-3, 1] D) [-1, 3)

5

17) -1 x + 12

3 17)

A) (-7, 1) B) [-3, 5]

C) [-5, 3] D) [-1, 7]

Solve the absolute value inequality. Write the solution set using interval notation.18) b - 8 - 9 > 2 18)

A) (- , -3) (1, ) B) (- , -3) (19, )C) (- , -1) (3, ) D) (-3, 19)

19) |17x - 8| < -3 19)

A) - , 517

1117

, B) (- , )

C) D) 517

, 1117

Find the real or imaginary solutions by using the quadratic formula.20) 3n2 = -8n - 2 20)

A) -4 ± 103

B) -8 ± 103

C) -4 ± 223

D) -4 ± 106

6

21) x2 = 9 - 4x 21)A) {-2 ± i 13} B) {-1 ± 13} C) {2 + 13} D) {-2 ± 13}

Find the solutions to the equation by reading the graph.22) 2x2 - 5x - 3 = 0

y = 2x2 - 5x - 3

22)

A) -3, -12

, 0 B) -12

, 0 C) -12

, 3 D) 0, -3

Use the method of your choice to find all real solutions of the equation.

23) x + 6x - 7

=x - 8x + 4

23)

A) -45

, 45

B) C) {-6, -4, 7, 8} D) 3225


Solve the inequality. State the solution set in interval notation.24) x2 - 3x - 18 < 0 24)

7

25) x2 + 10x + 21 > 0 25)


Use the vertical line test to determine whether y is a function of x.26) 26)

A) Yes B) No

Determine whether the relation is a function.27) {(-7, -5), (-7, 8), (-1, -4), (4, 7), (10, 3)} 27)

A) Yes B) No

28) {(-4, -2), (-2, 4), (3, -6), (8, -3)} 28)A) Yes B) No

8

Evaluate.

29) Find g(a + 1) when g(x) =12

x + 1. 29)

A) 12

a + 1 B) a + 32

C) a - 32

D) 12

a - 2


Give the domain and range of the relation.30) 30)

31) 31)

9

Find the domain and range.32) y = 9 + x 32)


The graph of y = f(x) is given. Use the graph to find the function value.33) Find f(4).

10

-10 10

-10

33)

A) 6 B) 0 C) -8 D) 4

10


Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, ifany, and any symmetry with respect to the x-axis, the y-axis, or the origin.

34) 34)

35) 35)

11


The graph of a function f is given. Use the graph to answer the question.36) For what numbers x is f(x) > 0?

100

-100 100

-100

36)

A) [-100, -60), (70, 100) B) (-60, 70)C) (- -60) D) (-60, )

37) How often does the line y = 20 intersect the graph?

100

-100 100

-100

37)

A) once B) twiceC) three times D) does not intersect

12

Answer the question about the given function.

38) Given the function f(x) =x2 - 8x - 3

, if x = -2, what is f(x)? What point is on the graph of f? 38)

A) -125

; (-2, -125

) B) -125

; (- 125

, -2) C) 45

; ( 45

, -2) D) 45

; (-2, 45

)

13

Precalc Test Review 2

Documents

Transcript of Precalc Test Review 2