Pre-Algebra Topic 3 Functions Review

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What is the equation for a linear function?

Back

A linear function can be expressed in the form 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.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed.

Front

What is the y-intercept in a linear equation?

Back

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

Front

If y = 3x + 1, what is the y-value when x = 2?

Back

When x = 2, y = 3(2) + 1 = 7.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, y also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as x increases, y decreases.

Front

What is a relation?

Back

A relation is a set of ordered pairs (x, y).