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Degrees in Polynomial and Rational Functions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Degrees in Polynomial and Rational Functions
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Arjun is trying to find the x-intercepts of a rational function that models the profit of a company. How should he determine the x-intercepts of this function?

Set the denominator equal to zero and solve for x.

Set the whole function equal to zero and solve for x.

Take the derivative of the function and find the x-values where the derivative is zero.

Set the numerator equal to zero and solve for x.

Tags

PC.F.4.5 

2.

MULTIPLE SELECT QUESTION

1 min • 2 pts

Media Image

Select all the following statements that are true.

Vertical asymptote at x=1

Vertical asymptote at x=0

No vertical asymptote

Hole at (-1, 0)

Hole at (1, -1)

Tags

PC.F.4.5 

3.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Media Image

Find the horizontal asymptote of f(x)

None

y=6

y=1/3

y=3

Tags

PC.F.4.5 

4.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Media Image

Choose the correct graph that matches with the equation.

A

B

C

D

Tags

PC.F.4.5 

5.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Oliver and Daniel are working on a project to model the water flow through a pipe system using a rational function. How do they determine the domain of this function?

Find the values of x that make the numerator non-zero.

Find the values of x that make the denominator zero.

Find the values of x that make the function undefined.

Find the values of x that make the denominator non-zero.

Tags

PC.F.4.5 

6.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Maya, Avery, and Sophia are studying the end behavior of rational functions in their math class. What are the possible types of end behavior for a rational function they might encounter?

Approaching zero

Approaching a constant value

Approaching a finite number

Approaching positive infinity or approaching negative infinity

Tags

PC.F.4.5 

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Graph the function.

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSF-IF.C.7D

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