Graphs of Rational Functions

Question 1

Consider the function . Find the vertical asymptote(s) of f(x).

Revolt · Accepted Answer

A: x = 0, –9

Question 2

⇒ 450

Revolt · Accepted Answer

133860

Question 3

What is the oblique asymptote of ?

Revolt · Accepted Answer

B: y = x – 5

Question 4

Determine the domain of the function .

Revolt · Accepted Answer

D: (–∞, –5) U (–5, 5) U (5, ∞)

Question 5

Consider the function . Which statement correctly describes the function’s behavior around its vertical asymptote?

Revolt · Accepted Answer

B: As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.

Question 6

Which statements describe the function ? Check all that apply. f(x) has a vertical asymptote at x = 8.f(x) has a vertical asymptote at x = 12.f(x) has a hole at x = –12.f(x) has a horizontal asymptote at y = 0. f(x) has an x-intercept at (–24, 0). f(x) is increasing from (8, ∞).

Revolt · Accepted Answer

A: f(x) has a vertical asymptote at x = 8.; C: f(x) has a hole at x = –12.; D: f(x) has a horizontal asymptote at y = 0.

Question 7

Which functions have a horizontal asymptote? Check all that apply.

Revolt · Accepted Answer

B: ; C: ; E:

Question 8

Which rational function is shown on the graph?

Revolt · Accepted Answer

C:

Question 9

Which rational function has vertical asymptotes at x = –3 and 9, a horizontal asymptote at y = 1, and an x-intercept of 0?

Revolt · Accepted Answer

A:

Question 10

Which statements describe the function ? Check all that apply.f(x) has one real zero because it crosses the x-axis once.f(x) has two real zeros because it crosses the x-axis twice.f(x) has real zeros at 1 and –1.f(x) has a real zero at 2.5.f(x) has x-intercepts at (1, 0) and (–1, 0).f(x) crosses the x-axis when x = 1 and x = –1.f(x) has an x-intercept at (2.5, 0).

Revolt · Accepted Answer

A: f(x) has one real zero because it crosses the x-axis once.; D: f(x) has a real zero at 2.5.; G: f(x) has an x-intercept at (2.5, 0).

Graphs of Rational Functions Answers

More from this Course

TRY EDGENUITY HACKS