Exponential Functions

Front

In the equation, y = mx + b, the letter b is the ___________.

Back

y-intercept

Front

What type of pattern do exponential functions have?

Back

Multiplies by the same number every time

Front

What type of pattern do linear functions have?

Back

Adds by the same number every time

Front

What is an exponential function?

Back

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

Front

What is the base in an exponential function?

Back

The base is the constant b in the function y = a * b^x, which determines the growth rate.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the general form of a linear function?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What is the difference between linear and exponential growth?

Back

Linear growth adds a constant value, while exponential growth multiplies by a constant factor.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (x=0).