Functions & Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Tags

CCSS.8.F.A.1

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What is function notation?

Back

Function notation is a way to denote functions using symbols, typically written as f(x), where f represents the function and x is the input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.

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CCSS.HSF.IF.A.2

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What does f(5) = 6 mean?

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It means that when the input is 5, the output of the function f is 6.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you tell if a relation is a function?

Back

A relation is a function if no x-value in the domain is paired with more than one y-value in the range.

Tags

CCSS.8.F.A.1

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What does it mean for a function to be linear?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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).

Tags

CCSS.8.EE.B.5

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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.