Question 1 40 times a number added to the negative square of that number can be expressed as:

A

. A(x) = x2 + 20x

.B

. A(x) = -x + 30x

.C

. A(x) = -x2 - 60x

.D

. A(x) = -x2 + 40x

.Question 2 Solve the following polynomial inequality

. 9x2 - 6x + 1 < 0

A

. (-?, -3)

B

. (-1, ?)

C

. [2, 4)

D

. Ø

Question 3

Find the domain of the following rational function

. f(x) = 5x/x - 4

A

. {x ?x ? 3}

B

. {x ?x = 5}

C

. {x ?x = 2}

D

. {x ?x ? 4}

Question 4 Find the x-intercepts

. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept

. f(x) = x2(x - 1)3(x + 2)

A

. x = -1, x = 2, x = 3 ; f(x) crosses the x-axis at 2 and 3; f(x) touches the x-axis at -1

B

. x = -6, x = 3, x = 2 ; f(x) crosses the x-axis at -6 and 3; f(x) touches the x-axis at 2

.C

. x = 7, x = 2, x = 0 ; f(x) crosses the x-axis at 7 and 2; f(x) touches the x-axis at 0

.D

. x = -2, x = 0, x = 1 ; f(x) crosses the x-axis at -2 and 1; f(x) touches the x-axis at 0

.Question 5 "Y varies directly as the nth power of x" can be modeled by the equation:

A

. y = kxn

.B

. y = kx/n

.C

. y = kx*n

.D

. y = knx

.Question 6 The graph of f(x) = -x2 __________ to the left and __________ to the right

.A

. falls; rises

B

. rises; rises

C

. falls; falls

D

. rises; rises

Question 7 The graph of f(x) = -x3 __________ to the left and __________ to the right

.A

. rises; falls

B

. falls; falls

C

. falls; rises

D

. falls; falls

Question 8 Find the x-intercepts

. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept

. f(x) = x4 - 9x2

A

. x = 0, x = 3, x = -3; f(x) crosses the x-axis at -3 and 3; f(x) touches the x-axis at 0

.B

. x = 1, x = 2, x = 3; f(x) crosses the x-axis at 2 and 3; f(x) crosses the x-axis at 0

.C

. x = 0, x = -3, x = 5; f(x) touches the x-axis at -3 and 5; f(x) touches the x-axis at 0

.D

. x = 1, x = 2, x = -4; f(x) crosses the x-axis at 2 and -4; f(x) touches the x-axis at 0

.Question 9 The perimeter of a rectangle is 80 feet

. If the length of the rectangle is represented by x, its width can be expressed as:

A

. 80 + x

.B

. 20 - x

.C

. 40 + 4x

.D

. 40 - x

.Question 10 The difference between two numbers is 8

. If one number is XXXXX by x, the other number can be expressed as:

A

. x - 5

.B

. x + 4

.C

. x - 8

.D

. x - x

.Question 11 Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function

. g(x) = x + 3/x(x + 4)

A

. Vertical asymptotes: x = 4, x = 0; holes at 3x

B

. Vertical asymptotes: x = -8, x = 0; holes at x + 4

C

. Vertical asymptotes: x = -4, x = 0; no holes

D

. Vertical asymptotes: x = 5, x = 0; holes at x - 3

Vertical asymptotes: x = -4, x = 0; and hole at x=-3 is correct answer

.Question 12 Find the x-intercepts

. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept

. f(x) = x3 + 2x2 - x - 2

A

. x = 2, x = 2, x = -1; f(x) touches the x-axis at each

.B

. x = -2, x = 2, x = -5; f(x) crosses the x-axis at each

.C

. x = -3, x = -4, x = 1; f(x) touches the x-axis at each

.D

. x = -2, x = 1, x = -1; f(x) crosses the x-axis at each

Question 13 Find the domain of the following rational function

. f(x) = x + 7/x2 + 49

A

. All real numbers 210

C

. All real numbers ? 77

D

. All real numbers

Question 14 Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the following rational function

. f(x) = x/x + 4

A

. Vertical asymptote: x = -4; no holes

B

. Vertical asymptote: x = -4; holes at 3x

C

. Vertical asymptote: x = -4; holes at 2x

D

. Vertical asymptote: x = -4; no holes

Vertical asymptote: x = -4; hole at x =0 is correct answer

.Question 15 5

.0 Points Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers

. f(x) = 2x4 - 4x2 + 1; between -1 and 0

A

. f(-1) = -0; f(0) = 2

B

. f(-1) = -1; f(0) = 1 Hence, there is one zero between x = -1 and x=1

C

. f(-1) = -2; f(0) = 0

D

. f(-1) = -5; f(0) = -3

Question 16 Find the x-intercepts

. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept

. f(x) = -2x4 + 4x3

A

. x = 1, x = 0; f(x) touches the x-axis at 1 and 0

B

. x = -1, x = 3; f(x) crosses the x-axis at -1 and 3

C

. x = 0, x = 2; f(x) crosses the x-axis at 0 and 2

D

. x = 4, x = -3; f(x) crosses the x-axis at 4 and -3