Math1314-Test Review 3-Spring 2017-HCC PDF

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Math1314-Test Review 3 - HCC- Spring 2016

MULTIPLE CHOICE. Choose the one alternative that best comple

Find the vertex of the parabola. 1) f (x) = x 2 + 6x - 5 11 A) -3, B) (6, -5) 4

C)

(-

Identify the vertex, axis of symmetry, and intercepts for the 2) g(x) = x2 - 2x - 8 A) Vertex at (-1, -5); axis: y = -5; x-intercepts: (-2, 0 B) Vertex at (-1, -5); axis: x = -1; x-intercepts: none C) Vertex at (1, -9); axis: y = -9; x-intercepts: none; D) Vertex at (1, -9); axis: x = 1; x-intercepts: (-2, 0) Write the function in vertex form and determine the range. 3) f (x) = -3x 2 + 30x - 80 A) (x) = -3(x + 5)2 - 5

Range: (-, -5] C) (x) = -3(x - 5)2 - 5

Range: [5, )

B) (x

R D) (x

R

Identify the vertex and determine the minimum or maximu 4) f (x) = -3x2 - 12x - 20 A) Vertex: ( 2 8) B) V

Find the zeros of the function and state the multiplicities. 7) f (x) = -4x3(x + 1) 4 (x - 5)6 A) -1 (multiplicity 4), 5 (multiplicity 6) B) 0 (multiplicity 3), -1 (multiplicity 4), 5 (multiplic C) 1 (multiplicity 4), -5 (multiplicity 6) D) 0 (multiplicity 3), 1 (multiplicity 4), -5 (multiplic Use long division to divide. 8) (x5 - 3x 4 - 21x 2 - 21 x - 36) ÷ (x 2 + 4) 5x A) x3 - 3x2 - 4 x - 9 x2 + 4 C) x3

B) x3

D) x3

- 3x2 - 9 x - 9

Use synthetic division to divide the polynomials. 9) (s 4 + 9s3 + 17s 2 + 6s - 8) ÷ (s + 1) A) s 3

B) s 3

+ 8s2 + 9s - 3

C) s 3 + 10s2 + 27s + 33 +

25 s-1

D) s 3

Use the remainder theorem to evaluate the polynomial for t 10) f (x) = 2x4 + 3x3 + 21x 2 - 75x - 14; f (-3)

Determine the number of possible positive and negative rea 13) f (x) = -8x7 - 2x 4 + 4x 3 + 5x 2 + 7x + 5 A) Positive: 4 or 2; Negative: 1 B) Po C) Positive: 1; Negative: 4 or 2 D) Po Determine the vertical asymptote(s) of the graph of the func x f (x) = 14) x2 + 16

= 4 and x = -4 C) x = 4 A) x

x D) N B)

a. Identify the horizontal asymptote (if any). b. If the graph of the function has a horizontal asymptote, d horizontal asymptote. 15) f (x) =

7x2 - 6x + 3 x2 + 4

A) a. y = 0

B) a.

3 ,0 4

b.

C) a. y = 0

D) a.

b.

b. Graph does not cross y = 0.

b.

Use transformations of the graph y = e x to graph the functio notation. 17)

f (x) = ex - 1 A)

B)

Domain: (-) Range: (0,) C)

D R D)

Simplify the expression. 1 20) log 9 81

1 A) 2

21) ln

1 2

C)

2

1 e6

1 A) 6 22)

B) -

log 0.0001 1 A) 3

B)

6

C)

-6

B)

-3

C)

1 4

Use the quotient property of logarithms to write the logarit simplify if possible. e 23) ln 18 A)

1 ln(18)

B)

1 - ln(18)

Apply the power property of logarithms

C)

l ln

Write the logarithmic expression as a single logarithm with possible. 26) 3log m - 4log n 2

2

A) log (3m - 4n ) 2

C) log

27)

B)

m3 2

3 4

D) lo

n4

log5 10 + log5 20 - log 5 8 A) log 5

22

Solve the equation. 28) 32x + 3 = 4 3x + 7 A) {1}

B)

log 5 1600

C) lo

B)

{-2}

C)

Solve the logarithmic equation. 29) -14 = -16 - log2 (4x + 4) A) -

16 15

Solve the equation.

15 B) 16

C)

{-

Answer Key Testname: UNTITLED1

1) C 2) D 3) B 4) A 5) B 6) D 7) B 8) A 9) B 10) B 11) D 12) A 13) C 14) D 15) B 16) C 17) B 18) A 19) C 20) D 21) C 22) D 23) B 24) D 25) A 26) C 27) D...