Graphing Functions

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 domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How do you determine if an ordered pair is a solution to an equation?

Back

Substitute the x-value and y-value into the equation. If the equation holds true, it is a solution.

Front

What does it mean for a relation to be 'not a function'?

Back

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

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 is the y-intercept of the equation y = 2x - 7?

Back

The y-intercept is -7, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = 2x - 7?

Back

The slope is 2, indicating that for every 1 unit increase in x, y increases by 2 units.

Front

How can you graph a linear equation?

Back

1. Identify the y-intercept. 2. Use the slope to find another point. 3. Draw a line through the points.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.