Comparing Functions Review

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a function?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative slope indicate about a function?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

In the equation y = 3x + 5, what is the slope?

Back

The slope is 3.

Front

In the equation y = -2x + 4, what is the y-intercept?

Back

The y-intercept is 4.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not have a constant rate of change, meaning its graph is not a straight line.

Front

How can you determine if a function is linear from a table of values?

Back

A function is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

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