Chapter 6 Quiz

The equation, $y=220\left(1.06\right)^x$  represents what?

• Exponential growth

• Exponential decay

• Neither

Tags

CCSS.HSF-IF.C.8B

Find the formula for an exponential function $\left(y=ab^x\right)$ that passes through the two points,  $\left(6,8\right)$  and  $\left(3,1\right)$   

•  $y=\frac{1}{8}\left(2\right)^x$  

•  $y=8\left(2\right)^x$  

•  $y=2\left(8\right)^x$  

•  $y=2\left(\frac{1}{8}\right)^x$  

Tags

CCSS.HSF.LE.A.2

The equation, $y=2.25\left(e\right)^{-2t}$  represents what?

• Exponential growth

• Exponential decay

• Neither

Tags

CCSS.HSF-IF.C.8B

Alyssa opened a retirement account with 7.25% APR in the year 2000. Her initial deposit was $13,500. How much will the account be worth in 2025 if interest compounds monthly?

Alyssa opened a retirement account with 7.25% APR in the year 2000. Her initial deposit was $13,500. How much will the account be worth in 2025 if interest compounds continuously?

The original graph is $f\left(x\right)=\left(3\right)^x$ . Select all of the transformations from the original to  $f\left(x\right)=2\left(3\right)^{x-20}+6$  

• Up 6

• Stretches vertically by a factor of 2

• Right 20

• Left 20

• Compresses vertically by a factor of 2

 What is the domain of $f\left(x\right)=2^{-x}+7$ 

•  $\left(-\infty,\infty\right)$  

•  $\left(-\infty,0\right)$  

•  $\left(0,\infty\right)$  

•  $\left(-\infty,7\right)$  

What is the range of $f\left(x\right)=0.5\left(3\right)^{-x}$  

•  $\left(0,\ \infty\right)$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

•  $\left(-\infty,\ 0.5\right)$  

 What is the horizontal asymptote of $f\left(x\right)=2^{-x}+7$ 

•  $y=7$  

•  $y=0$  

•  $y=2$  

•  $y=-1$  

Tags

CCSS.HSF-IF.C.7D

Start with the graph of $f\left(x\right)=4^x$ . Write a function that shifts  $f\left(x\right)$  4 units upward. 

•  $f\left(x\right)=4^x+4$  

•  $f\left(x\right)=4^x-4$  

•  $f\left(x\right)=4^x-6$  

Tags

CCSS.HSF.BF.B.3