Pre-Algebra Unit 5 Exam

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What is a Linear Function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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What is a Nonlinear Function?

Back

A nonlinear function is a function that does not graph to a straight line. Its graph can be a curve or any shape that is not a straight line.

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What is the Vertical Line Test?

Back

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

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What is a Function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

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What is Not a Function?

Back

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

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How do you find the slope of a line?

Back

The slope (m) of a line can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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What are the Domain and Range of a function?

Back

The domain is the set of all possible input values (x-values) for a function, while the range is the set of all possible output values (y-values).

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What is the Slope-Intercept Form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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What does it mean if a function is increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease.