Key Features
Exponential Function
Problem Solving
100

What are at least 3 key features of a function?

Domain, Range, Asymptotes, intercepts, and end behavior. 
100

What is the asymptote of the function y=3^x?

The x-Axis
100

A car was purchased for $24,000. The function 𝙮=𝟮𝟰⋅𝟬.𝟴𝙭y equals 24 dot , 0.8 to the x                     can be used to model the value of the car (in thousands of dollars) x years after it was purchased.

Does the function represent exponential growth or decay?

Decay.

200

What values are the domains and ranges?

The x-values and y-values.
200

In the function y=p(1+r/n)^nt, what does the letter P stand for?

The initial Value, or Starting value. 
200

A car was purchased for $24,000. The function 𝙮=𝟮𝟰⋅𝟬.𝟴𝙭y equals 24 dot , 0.8 to the x                     can be used to model the value of the car (in thousands of dollars) x years after it was purchased.

What is the rate of Decay?

20% or 0.2

300

Describe an End Behavior of a graph? 

As x approaches infinity, y approaches negative infinity, or vise-versa.

300

In the function y=p(1+r/n)^nt, What does the r stand for in the equation.

The ratio or interest.

300

What number accurately respondents quarterly payments?

4

400

What does the asymptotes mean on a graph?

A line that the function gets close to but never touches.

400

In the function y=p(1+r/n)^nt, what shows whether the function is exponential or decay? 

The value of r.

400

The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expectedto decrease by about 7.2% per year. Approximate the population in 2036.

32,300

500

In the function y=ab^x+k. What happens when the value of k changes?

The function shifts along the y axis.

500

The population of a large city was about 4.6 million in the year 2010 and grew at a rate of 1.3% for the next four years. What is the population in 4 years. 

4.84 Million

500

Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the interest is compounded monthly?

5636.36