Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format 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

What does f(-2) represent in function notation?

Back

f(-2) represents the output of the function f when the input is -2.

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CCSS.HSF.IF.A.2

Front

Given f(x) = -x + 3x + 1, simplify the function.

Back

f(x) = 2x + 1.

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CCSS.6.EE.A.4

Front

How do you find f(4) for the function f(x) = 2x + 1?

Back

Substitute 4 for x: f(4) = 2(4) + 1 = 9.

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CCSS.HSF.IF.A.2

Front

What is an independent variable in a function?

Back

The independent variable is the input value of the function, often represented as 'x'.

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CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

In the expression h(7) = 10, what does 7 represent?

Back

7 is the independent variable.

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CCSS.HSF.IF.A.2

Front

What is the output of the function f(x) = x^2 + 2x + 5 when x = -3?

Back

f(-3) = (-3)^2 + 2(-3) + 5 = 9 - 6 + 5 = 8.

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CCSS.HSF.IF.A.2

Front

What is the value of t if H(-2) = 3?

Back

t must be such that H(-2) equals 3.

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CCSS.HSF.IF.A.2

Front

What does it mean if a function is undefined at a certain point?

Back

It means that there is no output for that input value, often due to division by zero or taking the square root of a negative number.

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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 independent variable into the function's equation.

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CCSS.HSF.IF.A.2