How do the graphs of $$f(x) = \frac{1}{x + 2}$$ and $$g(x) = \frac{3}{x + 2}$$ relate?

The function $$f(x)$$ is vertically stretched to obtain the graph of $$g(x)$$ .

The function $$f(x)$$ is horizontally stretched to obtain the graph of $$g(x)$$ .

The function $$f(x)$$ is shifted vertically to obtain the graph of $$g(x)$$ .

The function $$f(x)$$ is shifted horizontally to obtain the graph of $$g(x)$$ .

What is the domain of the function $$h(x) = \frac{3}{x^2 - 2x - 24}$$ ?

All real numbers except $$x = -4$$ and $$x = 6$$

All real numbers except $$x = 4$$ and $$x = 6$$

All real numbers except $$x = -6$$ and $$x = 6$$

What are the asymptotes of $$f(x)=\frac{8}{x^2}$$ ?

The vertical asymptote is the line x = 0. The horizontal asymptote is the line y = 0.

The function f(x) has no asymptotes.

The vertical asymptote is the line x = 8. The horizontal asymptote is the line y = 8.

The vertical asymptote is the line y = 0. The horizontal asymptote is the line x = 0.

Which statement about an extraneous solution is not correct? Select all that apply.

It comes from CORRECT solution steps and is a VALID solution of the equation

It comes from INCORRECT solution steps and is VALID solution of the equation

It comes from INCORRECT solution steps and is NOT VALID solution of the equation

It comes from CORRECT solution steps and is NOT VALID solution of the equation (false)

ALG2 M2T3 (PERA Rational Functions)

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7D, HSA.REI.A.2, 6.EE.A.4

+4

Standards-aligned

Carlos Bielsa

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function has a vertical asymptote at x = -4 and a horizontal asymptote at y = 2?

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All real numbers

All real numbers except 0

All real numbers except 5

All real numbers except -5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All real numbers

All positive real numbers

All negative real numbers

All real numbers except 0

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tags

CCSS.HSA.REI.A.2

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.6.EE.A.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Shift the graph of f(x) 5 units to the left and 3 units up.

Shift the graph of f(x) 5 units to the left and 3 units down.

Shift the graph of f(x) 5 units to the right and 3 units up.

Shift the graph of f(x) 5 units to the right and 3 units down.

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.D.7

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