Solving and Graphing Exponential Functions

In an exponential function, what does the 'a' represent?

• SLOPE

• MULTIPLIER

• INITIAL VALUE

• EXPONENT

In an exponential function, what does the 'b' represent?

• SLOPE

• MULTIPLIER

• INITIAL VALUE

• EXPONENT

Identify the multiplier (b) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Write an exponential function to model the situation. You invest $1500. Your investment escalates at a rate of 3.5%.

• B(t) = 1500(0.965)^t

• B(t) = 1500(1.035)^t

• B(t) = 1500(.035)^t

• B(t) = 1500(1.965)^t

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433

Is the following function and example of exponential decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

When neither first nor second differences of a data set are equal, but ratios are equal, we know that the data came from a __________ function.

• Linear

• Exponential

• Quadratic

• Constant