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Reciprocal (Rational) Functions

Reciprocal (Rational) Functions

Assessment

Presentation

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•
CCSS
HSF-IF.C.7D, HSF.BF.B.3

Standards-aligned

Created by

Krystal Hill

Used 92+ times

FREE Resource

6 Slides • 10 Questions

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Multiple Choice

What is the correct "Parent function" for Rational (reciprocal) functions?

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​Guided Notes:

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​Guided Notes:

5

Multiple Choice

Identify the transformations & Asymptotes for f(x)=4x+1−1f\left(x\right)=\frac{4}{x+1}-1  

1

Move Right 1 and Up 0

VA: x = 1

HA: y = 0

2

Move Left 1 and Up 4

VA: x = -1

HA: y = 4

3

Move Right 4 and Down 1

VA: x = 4

HA: y = -1

4

Move Left 1 and Down 1

VA: x = -1

HA: y = -1

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Multiple Choice

Identify the transformations & Asymptotes for f(x)=3x−2+2f\left(x\right)=\frac{3}{x-2}+2  

1

Move Right 2 and Up 2

VA: x = 2

HA: y = 2

2

Move Left 2 and Up 3

VA: x = -2

HA: y = 3

3

Move Right 2 and Down 2

VA: x = 2

HA: y = -2

4

Move Left 2 and Down 3

VA: x = -2

HA: y = -3

7

Multiple Choice

Identify the transformations & Asymptotes for f(x)=−1x+3f\left(x\right)=-\frac{1}{x+3}  

1

Move Right 3 and Up 0

VA: x = 3

HA: y = 0

2

Move Left 3 and Up 0

VA: x = -3

HA: y = 0

3

Move Right 3 and Down 1

VA: x = 3

HA: y = -1

4

Move Left 3 and Down 1

VA: x = -3

HA: y = -1

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​Guided Notes:

9

Multiple Choice

Determine the graph for the following function:

f(x)=4x+1−1f\left(x\right)=\frac{4}{x+1}-1  

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10

Multiple Choice

Determine the graph for the following function:

f(x)=4x+2f\left(x\right)=\frac{4}{x+2}  

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11

Multiple Choice

Determine the graph for the following function:

f(x)=−1x+3+1f\left(x\right)=-\frac{1}{x+3}+1  

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​Guided Notes:

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​Guided Notes:

14

Multiple Choice

Identify the domain and range of the function:

f(x)=4x+1+1f\left(x\right)=\frac{4}{x+1}+1  

1

Domain: (−∞,1)U(1,∞)\left(-\infty,1\right)U\left(1,\infty\right)  

Range:

(−∞,4)U(4,∞)\left(-\infty,4\right)U\left(4,\infty\right)  

2

Domain: (−∞,4)U(4,∞)\left(-\infty,4\right)U\left(4,\infty\right)  

Range:

(−∞,−1)U(−1,∞)\left(-\infty,-1\right)U\left(-1,\infty\right)  

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Domain: (−∞,1)U(1,∞)\left(-\infty,1\right)U\left(1,\infty\right)  

Range:

(−∞,−1)U(−1,∞)\left(-\infty,-1\right)U\left(-1,\infty\right)  

4

Domain: (−∞,−1)U(−1,∞)\left(-\infty,-1\right)U\left(-1,\infty\right)  

Range:

(−∞,1)U(1,∞)\left(-\infty,1\right)U\left(1,\infty\right)  

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Multiple Choice

Identify the domain and range of the function:

f(x)=3x−2+2f\left(x\right)=\frac{3}{x-2}+2  

1

Domain: (−∞,−2)U(−2,∞)\left(-\infty,-2\right)U\left(-2,\infty\right)  

Range:

(−∞,2)U(2,∞)\left(-\infty,2\right)U\left(2,\infty\right)  

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Domain: (−∞,3)U(3,∞)\left(-\infty,3\right)U\left(3,\infty\right)  

Range:

(−∞,−2)U(−2,∞)\left(-\infty,-2\right)U\left(-2,\infty\right)  

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Domain: (−∞,2)U(2,∞)\left(-\infty,2\right)U\left(2,\infty\right)  

Range:

(−∞,2)U(2,∞)\left(-\infty,2\right)U\left(2,\infty\right)  

4

Domain: (−∞,−3)U(−3,∞)\left(-\infty,-3\right)U\left(-3,\infty\right)  

Range:

(−∞,2)U(2,∞)\left(-\infty,2\right)U\left(2,\infty\right)  

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Multiple Choice

Identify the domain and range of the function:

f(x)=−1x+3f\left(x\right)=-\frac{1}{x+3}  

1

Domain: (−∞,−3)U(−3,∞)\left(-\infty,-3\right)U\left(-3,\infty\right)  

Range:

(−∞,0)U(0,∞)\left(-\infty,0\right)U\left(0,\infty\right)  

2

Domain: (−∞,3)U(3,∞)\left(-\infty,3\right)U\left(3,\infty\right)  

Range:

(−∞,0)U(0,∞)\left(-\infty,0\right)U\left(0,\infty\right)  

3

Domain: (−∞,0)U(0,∞)\left(-\infty,0\right)U\left(0,\infty\right)  

Range:

(−∞,3)U(3,∞)\left(-\infty,3\right)U\left(3,\infty\right)  

4

Domain: (−∞,0)U(0,∞)\left(-\infty,0\right)U\left(0,\infty\right)  

Range:

(−∞,−3)U(−3,∞)\left(-\infty,-3\right)U\left(-3,\infty\right)  

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