Exponential Functions

Front

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

Back

y-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What type of pattern do exponential functions have?

Back

Multiplies by the same number every time

Tags

CCSS.HSF-IF.C.8B

Front

What type of pattern do linear functions have?

Back

Adds by the same number every time

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.

Tags

CCSS.HSF-LE.A.1A

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).