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Graphing Exponential Functions

Authored by Sammie Heft

Mathematics

9th - 12th Grade

CCSS covered

Graphing Exponential Functions
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8 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

This chart is used to represent finding dominant terms in exponentials. How would you fill in the yellow boxes?

highest powers

lowest powers

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

This chart is used to represent finding dominant terms in exponentials. How would you fill in the orange boxes?

highest powers

lowest powers

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 f(x)=(0.3)2x2(0.3)x(0.3)x+4f\left(x\right)=\frac{\left(0.3\right)^{2x}-2\left(0.3\right)^x}{\left(0.3\right)^x+4} 
What are the dominant terms for when x>>0?

numerator:  2(0.3)x-2\left(0.3\right)^x  
denominator:  44  

numerator: (0.3)2x\left(0.3\right)^{2x}  
denominator:  44  

numerator:  2(0.3)x-2\left(0.3\right)^x  
denominator:  (0.3)x\left(0.3\right)^x  

numerator:  (0.3)2x\left(0.3\right)^{2x}  
denominator:  (0.3)x\left(0.3\right)^x  

Tags

CCSS.HSF-IF.C.8B

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 f(x)=e3x4ex+52ex+3exf\left(x\right)=\frac{e^{3x}-4e^{-x}+5}{2e^x+3e^{-x}} 
What are the dominant terms for when x>>0?

numerator:  e3xe^{3x}  
denominator:  3ex3e^{-x}  

numerator: e3xe^{3x}  
denominator:  2ex2e^x  

numerator:  55  
denominator:  3ex3e^{-x}  

numerator:  4ex-4e^{-x} 
denominator:  2ex2e^x  

Tags

CCSS.HSA.APR.D.6

5.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

x-intercepts are found where the (numerator/denominator) is equal to zero.

Tags

CCSS.HSF-IF.C.7D

6.

FILL IN THE BLANK QUESTION

5 mins • 1 pt

Vertical Asymptotes are found where the (numerator/denominator) is equal to zero.

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Fill in the bottom row of the sign chart for  f(x)=(ex4)(7ex2)(e3x1)f\left(x\right)=\frac{\left(e^x-4\right)\left(7e^x-2\right)}{\left(e^{3x}-1\right)} 


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Tags

CCSS.HSF-IF.C.7D

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