Vertical Asymptotes of Rational Functions — Unit test

Question 1

If (x – 2k) is a factor of f(x), which of the following must be true?

Revolt · Accepted Answer

f(2k) = 0

Question 2

A hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the first month and then pays one-third of the previous month’s payment each of the following months until the invoice is paid in full. Approximately how much of the invoice will be paid after the fourth month?

Revolt · Accepted Answer

$2,149.63

Question 3

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Revolt · Accepted Answer

x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8 EndFraction

Question 4

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

Revolt · Accepted Answer

x cubed + x squared + x + 1

Question 5

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

Revolt · Accepted Answer

mc012-2.jpg

Question 6

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?

Revolt · Accepted Answer

(x + 1)(2x – 3)(3x – 5)

Question 7

Which geometric series converges?

Revolt · Accepted Answer

1 + one-half + one-fourth + one-eighth + ellipsis

Question 8

The polynomial function is graphed below.Which is a potential rational root of f(x) at point P?

Revolt · Accepted Answer

The root at point P may be .

Question 9

Which expression is equivalent to ?

Revolt · Accepted Answer

mc023-3.jpg

Question 10

What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.

Revolt · Accepted Answer

x = –1 and x = 5

Vertical Asymptotes of Rational Functions — Unit test Answers

More from this Course

TRY EDGENUITY HACKS