Linear Functions Test Review

Front

What is a linear function?

Back

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

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its graph can be a curve or any shape that is not a straight line.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value). If any x-value is paired with more than one y-value, it is not a function.

Front

What is the slope of the equation y = -3x + 4?

Back

The slope of the equation y = -3x + 4 is -3.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0. In the equation y = mx + b, it is represented by b.

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.

Front

What is a vertical line test?

Back

The vertical line test is a method used to determine if a relation is a function. If any vertical line intersects the graph more than once, the relation is not a function.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input of a function (usually x), while the dependent variable is the output (usually y) that depends on the value of the independent variable.