12/03 - CTG: Exponential Functions Review

Front

What does the 1.06 represent in the equation f(x) = 300(1.06)^x?

Back

6% growth

Front

What is the domain and range of the function y=2^x?

Back

Domain: all real numbers; Range: y > 0

Front

What is the y-intercept of the function y=2^x?

Back

3

Front

Which statement is true about a table that is growing by a constant rate?

Back

The table is growing by a constant rate so it is linear.

Front

Write an exponential function to model an investment of $1,500 increasing at a rate of 3.5%.

Back

B(t) = 1,500(1.035)^t

Front

What is an exponential function?

Back

A function of the form f(x) = a(b)^x where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)^x where r is the growth rate.

Front

What is the difference between exponential growth and exponential decay?

Back

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

Front

How do you identify an exponential function from a table of values?

Back

If the ratio of consecutive outputs is constant, it is exponential.

Front

What is the base of an exponential function?

Back

The base is the constant factor that is raised to the power of x.