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Unit 4C - All Characteristics of Rational Functions

Authored by KC Bellflower

Mathematics

9th - 12th Grade

CCSS covered

Used 23+ times

Unit 4C - All Characteristics of Rational Functions
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30 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What type of rational function is this and what is the equation of the horizontal asymptote?

f(x)=−2x2−2xx2−3x−4f\left(x\right)=\frac{-2x^2-2x}{x^2-3x-4}

BH

y = 0

PE

y = -2

PE

y = 2

TH

There isn't one

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the equation of the vertical asymptote?

x = 1

y = 1

(2, 4)

There isn't one.

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which of the following is the correct domain restriction?

x≠1x\ne1

x≠1, 2x\ne1,\ 2

x≠2x\ne2

There aren't any.

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the x-intercept(s) of the rational function.

x-int: (−2, 0)\left(-2,\ 0\right)

x-int: (0, −2)\left(0,\ -2\right)

x-int: (2, 0)\left(2,\ 0\right)

x-int: (−2, 0) & (2, 4)\left(-2,\ 0\right)\ \&\ \left(2,\ 4\right)

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the y-intercept(s) of the rational function.

y-int: (−2, 0)\left(-2,\ 0\right)

y-int: (0, −2)\left(0,\ -2\right)

y-int: (0, −2) & (2, 4)\left(0,\ -2\right)\ \&\ \left(2,\ 4\right)

y-int: (0, −2) & (0, 1)\left(0,\ -2\right)\ \&\ \left(0,\ 1\right)

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What are the domain restrictions?

x ≠ 3

x ≠ -1

x ≠ 3, -1

x ≠ 3, 1

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the x-intercept(s), if one exists.

f(x)=(x+1)(x−1)x(x+1)f\left(x\right)=\frac{\left(x+1\right)\left(x-1\right)}{x\left(x+1\right)}

(1, 0)

(-1, 0)

(1, 0), (-1, 0)

(0, 0), (1, 0)

Tags

CCSS.HSF-IF.C.7D

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