Functions Test Review

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the definition of 'not a function'?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if every input has only one output. You can use the vertical line test on a graph to check.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Its rate of change is not constant.

Front

Identify the characteristics of a linear function.

Back

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

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.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis (x=0).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is a set of values that represents a function?

Back

A set of values represents a function if no x-value is repeated with a different y-value.