Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's expression and simplify.

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CCSS.HSF.IF.A.2

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What does f(3) = 4 mean?

Back

It means that when the input to the function f is 3, the output is 4.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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If f(x) = x^2 + 3, what is f(-2)?

Back

f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

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CCSS.HSF.IF.A.2

Front

What is the output of f(x) if f(x) = 19?

Back

To find the output, set f(x) = 19 and solve for x. In this case, x = 3.

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CCSS.HSF.IF.A.2

Front

How can you represent the output of a function as an ordered pair?

Back

The output of a function can be represented as an ordered pair (x, f(x)), where x is the input and f(x) is the output.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the significance of the notation f(x)?

Back

f(x) indicates that f is a function of x, meaning that the output depends on the value of x.

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CCSS.HSF.IF.A.2

Front

If f(2) = 4, what does this tell us about the function?

Back

It tells us that when the input is 2, the output of the function is 4.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you find f(2) if f(x) = 2x + 1?

Back

Substitute 2 into the function: f(2) = 2(2) + 1 = 4 + 1 = 5.

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CCSS.HSF.IF.A.2

Front

What is the domain of a function?

Back

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