Mid-Term ReviewPRE-AP PRE-CALCULUS2015 - 2016

What is the remainder when is divided by ?

A. 0B. 3C. -7D. -6

If and , find .

Which exponential function satisfies the given information?Initial height = 18 cm, doubling every 3 weeks

A.

B.

C. D.

What are the factors of the function with the given zeros?

-2 (multiplicity of 2), 4 (multiplicity of 1), 4i (multiplicity of 1)

A. (x – 2)(x – 2)(x + 4)(x + 4i)

B. (x + 2)(x + 2)(x – 4)(x – 4i)(x + 4i)

C. (x – 2)(x + 2)(x – 4)(x + 4)(x – 4i)(x + 4i)

D. (x + 2)(x + 2)(x – 4)(x – 4i)

Which of the following best describes the type of continuity where a single point is missing from a graph?

A. Continuous B. Jump Discontinuity

C. Removable Discontinuity

D. Infinite Discontinuity

Which of the following expressions are equivalent to ?

A.

B.

C.

D.

Which of the following represents the possible rational zeros for the function ?

A.

B.

C.

D.

What is the multiplicity of the zero, 7 in the function ?

A. 1

B. 2

C. 3

D. There is no multiplicity

What is the value of the vertical asymptote of the function

X=______

Which of the following is the correct exponential form of and gives the correct value of x?

A.

B.

C.

D.

Solve the given equation

A. X = 2

B. X = -2

C. X = 2, -2

D. No solution

Which of the following could have an effect on the domain of the function?

A. If the equation is in fraction form with a variable on the bottom.

B. If the independent variable is under a radical.

C. Both A & B

D. None of the above

Use the graph of to answer the question

What are the zeros of the function? A. X = -2B. X = 1C. X = 3D. All of the above

Use the graph of to answer the question At what intervals is ?

A.

B. C. D.

If and , what is the domain of the function f/g?

A. [4, ∞) B. (-∞, 4]

C. (-∞, 4) D. (4, ∞)

Which of the following is the solution set to the following equation?

A. {-2, 3}

B. {-5, 3}

C. {-5}

D. {2, -3}

Use synthetic division to determine if is an upper bound or lower bound of the function .

A. Upper bound

B. Lower bound

C. Neither upper nor lower bound

Graph the given function and determine which of the following adequately describes the end behavior.

A.

B.

C.

D.

Solve the equation.

x = _________

What kind of symmetry does an even function have?

A. Origin

B. X-axis

C. Y-axis

D. Y = x

Using the quadratic parent function, , which of the following equations translates the graph 5 units to the left, and 6 units up?

A.

B.

C.

D.

Which of the following is the horizontal asymptote of the given function?

A. Y = 0

B. There is no horizontal asymptote

C. Y = 2

D. Y = -1/3

Which of the following is the vertical asymptote of the function ?

A. X = 2

B. X = -2

C. X = -8

D. X = -1, x = -7

Which of the following is the method for finding inverse functions of equations not involving logs?

A. Switch x and y

B. Switch x and y, then get x by itself

C. Switch x and y, then get y by itself

D. Switch x and y, then find the derivative.

Which of the following represents the zeros of the function

A. X = 1, -2, 4

B. X = -1, 2, -4

C. X = -1, 2, 16

D. There are no zeros of the given function