Functions and Function Notations

Front

What is a function in mathematics?

Back

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

Tags

CCSS.8.F.A.1

Front

How do you denote a function?

Back

A function is typically denoted by a letter such as f, g, or h, followed by the input in parentheses, e.g., f(x).

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What does f(1) mean in the context of a function?

Back

f(1) represents the output of the function f when the input x is 1.

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CCSS.HSF.IF.A.2

Front

If f(x) = 2x + 1, what is f(1)?

Back

f(1) = 3.

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CCSS.HSF.IF.A.2

Front

How do you find the x-value when given f(x) = k?

Back

Set the function equal to k and solve for x.

Tags

CCSS.HSF.IF.A.2

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Tags

CCSS.8.F.A.1

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Tags

CCSS.8.F.A.1

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Tags

CCSS.8.F.A.1

Front

How can you represent a function's output as an ordered pair?

Back

You can represent the output as an ordered pair (x, f(x)).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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, it is not a function.