8R Unit 6 Review for Test

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What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has a constant rate of change and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not have a constant rate of change and cannot be represented as a straight line. Its graph may be curved or have varying slopes.

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What does it mean for a function to have a constant rate of change?

Back

A function has a constant rate of change if the difference in the y-values divided by the difference in the x-values is the same for any two points on the graph.

Front

How can you identify a linear function from a graph?

Back

A linear function can be identified from a graph if the points form a straight line, indicating a constant rate of change.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is often represented by the letter m.

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What is the y-intercept of a function?

Back

The y-intercept of a function is the point where the graph intersects the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). A relation can have multiple outputs for a single input.

Front

What is an example of a nonlinear equation?

Back

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing if, as you move from left to right, the y-values rise. This indicates a positive slope.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing if, as you move from left to right, the y-values fall. This indicates a negative slope.