Topic 10 Test Review

Front

What is the formula to calculate the future population of a species given an initial population and a growth rate?

Back

Future Population = Initial Population * (1 + Growth Rate)^Number of Periods

Front

If the initial population of mosquitoes is 4000 and the growth rate is 25% per month, how many mosquitoes will there be after 4 months?

Back

9766

Front

What does a vertical shrink/compression transformation do to a function?

Back

It reduces the height of the function's graph by a factor, making it closer to the x-axis.

Front

Given the function f(x) = 3^x and g(x) = \frac{1}{2} \cdot 3^x, what type of transformation occurs from f(x) to g(x)?

Back

Vertical shrink/compression

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the domain of the function f(x) = 1/x?

Back

All Real Numbers except x = 0.

Front

Identify the y-intercept in the function f(x) = 13(0.27)^x.

Back

The y-intercept is 13.

Front

What does the y-intercept represent in a function?

Back

The value of the function when x = 0.

Front

What type of function is characterized by a constant percentage increase or decrease?

Back

Exponential Function.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.