Functions Flashcard Review

Front

Does this graph represent a function?

Back

Yes, a graph represents a function if every input (x-value) has exactly one output (y-value).

Front

Is this function linear or nonlinear?

Back

Linear functions have a constant rate of change and can be represented by a straight line on a graph.

Front

Which of the following is NOT a function? (2,1) (3,4) (5,7), (-1,9) (0,2)(-1,3), (4,8) (2,7) (8,2), (1,2) (2,3) (1,2)

Back

(-1,9) (0,2)(-1,3) is not a function because the input -1 has two different outputs (9 and 3).

Front

The change in rise over run in a graph is called the...

Back

Slope, which measures the steepness of a line.

Front

What is the definition of function?

Back

A function is a relation where every input has only ONE output.

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.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may have curves or bends.

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 y-intercept represent in a graph?

Back

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

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.