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Graphing Exponential Functions & Characteristics

Authored by Bjorn Thornton

Mathematics

11th Grade

CCSS covered

Used 43+ times

Graphing Exponential Functions & Characteristics
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Is the following exponential function an example of growth or decay? f(x)=4(2)x31f(x)=4(2)^{x-3}-1  

Growth

Decay

Tags

CCSS.HSF-IF.C.8B

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

For the following function, what is the domain & range?  f(x)=4(2)x31f\left(x\right)=4\left(2\right)^{x-3}-1  

 D:(,); R:(1,)D:\left(-\infty,\infty\right);\ R:\left(-1,\infty\right)  

 D:(,); R:(,)D:\left(-\infty,\infty\right);\ R:\left(-\infty,\infty\right)  

 D:(,); R:(,1)D:\left(-\infty,\infty\right);\ R:\left(-\infty,-1\right)  

 D:(1,); R:(,)D:\left(-1,\infty\right);\ R:\left(-\infty,\infty\right)  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

For the following function, is the interval always "increasing" or "decreasing" and what is the interval upon which it's increasing or decreasing?  f(x)=4(2)x31f(x)=4(2)^{x-3}−1  

 Decrease; (,)Decrease;\ \left(-\infty,\infty\right)  

 Increase; (1,)Increase;\ \left(-1,\infty\right)  

 Increase; (,)Increase;\ \left(-\infty,\infty\right)  

 Decrease; (1,)Decrease;\ \left(-1,\infty\right)  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

For the following function, what is the appropriate end behavior?  f(x)=4(2)x31f(x)=4(2)^{x-3}-1  

 x, y; x, y1x\rightarrow-\infty,\ y\rightarrow-\infty;\ x\rightarrow\infty,\ y\rightarrow1  

 x, y1; x, yx\rightarrow-\infty,\ y\rightarrow-1;\ x\rightarrow\infty,\ y\rightarrow\infty  

 x, y; x, yx\rightarrow-\infty,\ y\rightarrow-\infty;\ x\rightarrow\infty,\ y\rightarrow\infty  

 x, y; x, y1x\rightarrow-\infty,\ y\rightarrow\infty;\ x\rightarrow\infty,\ y\rightarrow-1  

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which is the correct graph for the following function?  f(x)=4(2)x31f\left(x\right)=4\left(2\right)^{x-3}-1  

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Is the following exponential function an example of growth or decay? f(x)=(15)x4f\left(x\right)=-\left(\frac{1}{5}\right)^x-4  

Growth

Decay

Tags

CCSS.HSF-IF.C.8B

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

For the following function, is the interval always "increasing" or "decreasing" and what is the interval upon which it's increasing or decreasing?  f(x)=(15)x4f\left(x\right)=-\left(\frac{1}{5}\right)^x-4  

 Decrease; (,)Decrease;\ \left(-\infty,\infty\right)  

 Increase; (,)Increase;\ \left(-\infty,\infty\right)  

 Increase; (4,)Increase;\ \left(-4,\infty\right)  

 Decrease; (4,)Decrease;\ \left(-4,\infty\right)  

Tags

CCSS.HSF-IF.C.7E

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