Functions, y = mx + b 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 does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0.

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no x-value is repeated.

Front

What does it mean if a graph passes the vertical line test?

Back

If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the rate of change?

Back

The rate of change is the ratio of the change in y to the change in x, often represented as (change in y)/(change in x).

Front

If the rate of change is 6, what does that mean?

Back

It means for every 1 unit increase in x, y increases by 6 units.

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 a single input.

Front

How do you find the equation of a line given two points?

Back

Use the slope formula to find m, then use one point to solve for b in y = mx + b.