Identify Function Characteristics

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What is a discrete function?

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A discrete function is a function that consists of distinct, separate values. It is not continuous and often represented by individual points.

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What is a continuous function?

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A continuous function is a function that has no breaks, jumps, or holes in its graph. It can be drawn without lifting the pencil from the paper.

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What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a graph, or an equation.

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What is the vertical line test?

Back

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

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What does it mean for a function to be linear?

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A linear function is a function that graphs to a straight line. It has a constant rate of change and can be expressed in the form y = mx + b.

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What is a nonlinear function?

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A nonlinear function is a function that does not graph to a straight line. Its rate of change varies and can include curves, parabolas, and other shapes.

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What is an interval in the context of functions?

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An interval is a range of values for the independent variable (x) over which a function is defined or behaves in a certain way.

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What does it mean for a function to be constant?

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A constant function is a function that does not change its value over a specified interval. Its graph is a horizontal line.

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What is the difference between a function and a relation?

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A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

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What is a domain in a function?

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The domain of a function is the complete set of possible values of the independent variable (x) that can be used in the function.