Function 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 a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no x-value is repeated in the ordered pairs.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does the slope-intercept form of a line 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 line?

Back

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

Front

How do you find the slope from an equation in standard form?

Back

Convert the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What is the slope of the equation y = -4x + 8?

Back

The slope is -4.

Front

What is the slope of the equation y = -2x + 1?

Back

The slope is -2.

Front

What is a vertical line?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a.