Exponential Modeling and Comparing Exponential Functions

is it a growth factor or a decay factor?

• Growth Factor

• Decay Factor

This exponential function y = 3(2)^x + 4 represents the growth of a certain species of animal in a specific area. The y-axis represents the number of that animal present and the x-axis represents years. What can you say about the growth of the population of the species every year?

• The growth rate doubles each year.

• The growth rate triples each year.

• The growth rate increases by 2 each year.

• The growth rate increases by 5 each year.

Ben invests a small amount of money each month for his son's college education in a savings account that compounds interest monthly. If he never takes money out of the account, what does the graph of his investment look like before his son goes to college?

• constant

• quadratic

• exponential decay

• exponential growth

The population of a country is decreasing, and its population (in millions) over six years is shown in the table. Find an exponential regression curve to model this situation. Hint: USE DESMOS

The amount of money, in dollars, in a savings account after x years is given by M(x) = 900(1.07)^x. What does the factor 900 represent?

• The original deposit was $900.

• The account earns $900 per month.

• The account earns interest for 900 months.

• The account earns 9 percent interest each year.

The exponential function g(x) is shown on the graph. Suppose f(x) = 1. Which statement is true when comparing f(x) to g(x)?

• The y-intercept for g(x) is greater than for f(x).

• The y-intercept for f(x) is greater than for g(x).

• The y-intercept for f(x) is 0, and the y-intercept for g(x) is 1.

• The y-intercept for both functions is 1.

What type of function is f(x)=2(3^x) ?

• Quadratic

• Linear

• Exponential

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this? 

• Linear 

• Exponential 

• Neither 

The graph of this function is a curve going up really fast or down really fast. 

• Linear 

• Exponential

• Neither