Reviewing Linear Functions

Front

What does the slope represent in a linear function?

Back

The slope indicates the rate of change of the function, showing how much the y-value changes for a unit change in the x-value.

Front

What is the domain of a linear function?

Back

The domain is the set of all possible x-values for which the function is defined.

Front

What is the zero of a graph?

Back

The zero of a graph is the x-value where the function crosses the x-axis, meaning the output (y-value) is zero.

Front

How do you find the slope of a line given two points?

Back

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

Front

What does the x-intercept of a graph represent?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when y is zero.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

How can you determine if a function is linear?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease.