Linear Functions Test

Front

Is this relation a function?

Back

No, it is not a function.

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

Is the function y = 2 linear or nonlinear?

Back

Linear

Front

Is the function represented by the equation y = 3x + 1 linear or nonlinear?

Back

Linear

Front

What is the slope of the linear function y = 4x + 2?

Back

The slope is 4.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

Is the function y = x^2 linear or nonlinear?

Back

Nonlinear

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

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then it is not a function.

Front

What is the domain of a linear function?

Back

The domain of a linear function is all real numbers.