Quiz about Exponential Functions with JL

Question 1

Please select increasing exponential functions.

Accepted Answer

$$y\ =\ 35e^{\left(x-25\right)}$$

Accepted Answer

$$y\ =\ 7^x-68$$

Answer

$$y\ =\ 50\left(\frac{1}{2}\right)^x+200$$

Answer

$$y\ =\ -25e^x$$

Question 2

What is the general formula of a exponential function?

Accepted Answer

$$y\ =\ a\left(b\right)^x$$

Answer

$$y\ =\ a\left(1-r\right)^x$$

Answer

$$y\ =\ a\left(1+r\right)^x$$

Answer

$$y\ =\ P\left(1+\frac{r}{n}\right)^x$$

Question 3

Which of the following functions show an initial starting value of $60 and an increase of 10%.

Accepted Answer

$$y\ =\ 60\left(1.1\right)^x$$

Answer

$$y\ =\ 60\left(10\right)^x$$

Answer

$$y\ =\ 60\left(0.1\right)^x$$

Answer

$$y\ =\ 1.1\left(60\right)^x$$

Question 4

What is the starting value (y-intercept) of the function $$f\left(x\right)=3\left(2\right)^x+9$$

Accepted Answer

$$y\ =\ 12$$

Answer

$$y\ =\ 9$$

Answer

$$y\ =\ 3$$

Answer

$$y\ =\ 2$$

Question 5

Consider the functions $$f\left(x\right)\ =\ 45\left(0.46\right)^x$$ and $$f\left(x\right)\ =\ 32\left(1.2\right)^x$$ . Which statements are true?

Accepted Answer

$$f\left(x\right)\ =\ 45\left(0.46\right)^x$$ is exponentially decaying and $$f\left(x\right)\ =\ 32\left(1.2\right)^x$$ is exponentially growing.

Answer

$$f\left(x\right)\ =\ 32\left(1.2\right)^x$$ is exponentially decaying and $$f\left(x\right)\ =\ 45\left(0.46\right)^x$$ is exponentially growing.

Answer

Both functions are example of exponential decay.

Answer

Both functions are example of exponential growth.

Similar Resources on Wayground