6-2 Exponential Graphs

Front

What type of function has a table with an add or subtract pattern?

Back

Linear function.

Front

What type of function has a table with a multiply or divide pattern?

Back

Exponential function.

Front

What is the common ratio for the sequence: 28, 14, 7, 3.5...?

Back

1/2.

Front

Which of the following is an exponential function? y = x^2, f(x) = 3x^3, y = x^3, f(x) = 3^x

Back

f(x) = 3^x.

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where a is a constant and b is the base.

Front

What does the base in an exponential function determine?

Back

The rate of growth or decay.

Front

How does an exponential function behave as x increases?

Back

It increases rapidly if the base is greater than 1, or decreases rapidly if the base is between 0 and 1.

Front

What is the y-intercept of the function f(x) = 3^x?

Back

1, since f(0) = 3^0 = 1.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant factor.

Front

What is an example of a real-world situation that can be modeled by an exponential function?

Back

Population growth, radioactive decay, or compound interest.