2.5 Assignment: Key Characteristics of Linear Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the x-intercept represent in a graph?

Back

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

Front

What does the y-intercept represent in a graph?

Back

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

Front

How do you find the slope of a linear function?

Back

The slope (m) is calculated as the change in y divided by the change in x (rise/run) between two points on the line.

Front

What is the domain of a linear function?

Back

The domain of a linear function is the set of all possible x-values that can be input into the function, typically all real numbers.

Front

What is the range of a linear function?

Back

The range of a linear function is the set of all possible y-values that the function can output, typically all real numbers.

Front

How can you determine the x-intercept from a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How can you determine the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the standard form of a linear equation?

Back

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

Front

What is 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.