Math 8 Ch. 6 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 paired with more than one y-value.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a proportional relationship?

Back

A proportional relationship is a linear relationship that passes through the origin (0,0), meaning the ratio of y to x is constant.

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 is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x = 0.

Front

What does it mean for a graph to be non-proportional?

Back

A non-proportional graph does not pass through the origin and has a y-intercept that is not zero.

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

What is an example of a non-function equation?

Back

x = 3 is a non-function because it represents a vertical line where every y-value corresponds to the same x-value.

Front

What is a plausible story for a graph that shows a constant speed followed by a stop?

Back

A car was moving at a constant speed, then slowed down to a stop.