2/26 Functions CFA - 8th Grade

Front

What is a Linear Function?

Back

Front

What is a Nonlinear Function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Its rate of change varies and can be represented by curves or other shapes.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value). If an x-value is paired with more than one y-value, it is not a function.

Front

What is the rate of change in a linear function?

Back

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How can you identify a function from a set of ordered pairs?

Back

To identify a function from a set of ordered pairs, check if any x-value is repeated with different y-values. If it is, the relation is not a function.

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 over run).

Front

What is the y-intercept in a linear function?

Back

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What does it mean for two functions to have the same rate of change?

Back

Two functions have the same rate of change if their slopes (m) are equal, indicating that they increase or decrease at the same rate.

Front

How do you compare the rates of change of two linear functions?

Back

To compare the rates of change, look at the slopes (m) of each function. The function with the greater slope has a greater rate of change.

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What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.