Linear, Exponential, or Neither

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

An exponential function is a function in which an independent variable is in the exponent. It has the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

What does it mean if a sequence is neither linear nor exponential?

Back

A sequence is neither linear nor exponential if it does not follow a constant rate of change (linear) or a constant multiplicative rate of change (exponential).

Front

Identify if the following sequence is linear, exponential, or neither: 1, 2, 4, 8, 16.

Back

Exponential (each term is multiplied by 2).

Front

Identify if the following sequence is linear, exponential, or neither: 5, 10, 15, 20.

Back

Linear (each term increases by 5).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the difference between linear growth and exponential growth?

Back

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

Front

If a population doubles every year, what type of growth is this?

Back

Exponential growth.

Front

What is the slope in a linear function?

Back

The slope is the rate of change of the function, representing how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.