Unit 4 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

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 slope of a linear function?

Back

The slope of a linear function represents the rate of change of y with respect to x, calculated as rise over run.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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, represented as (0, b).

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does it mean for a point to be a solution to an equation?

Back

A point (x, y) is a solution to an equation if substituting x into the equation yields y.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for the same input.

Front

How can you identify a function from a set of ordered pairs?

Back

Check if any x-value is repeated with different y-values; if not, it is a function.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the direction and steepness of the line; a positive slope rises, while a negative slope falls.