Evaluating Functions and Their Outputs

The video tutorial explains how to evaluate a function by substituting input values into the function's equation. It demonstrates this process using the function f(x) = 3x^2 - 2x + 2, evaluating it for f(-1) and f(1/3). The tutorial emphasizes the concept of functions providing a unique output for each input and concludes with a summary of the evaluation process.

What is the given function in the video?

• f(x) = 3x^2 - 2x + 2

• f(x) = 3x^2 + 2x - 2

• f(x) = 2x^2 - 3x + 2

• f(x) = x^2 - 2x + 3

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CCSS.HSF.IF.A.2

What is the first step in evaluating f(-1)?

• Graph the function

• Simplify the function

• Substitute -1 for x in the function

• Find the derivative of the function

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CCSS.6.EE.A.2C

What is the value of 3 * (-1)^2?

• -1

• 3

• 1

• -3

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CCSS.HSF.IF.A.2

What is the result of f(-1)?

• 3

• 1

• 7

• 5

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CCSS.HSF.IF.A.2

What is the next step after substituting 1/3 into the function?

• Find the derivative

• Graph the function

• Simplify the function

• Substitute another value

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CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

What is the value of 3 * (1/3)?

• 2/3

• 1/3

• 3

• 1

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CCSS.HSF.IF.A.2

What is the result of f(1/3)?

• 1 and 2/3

• 1

• 2

• 2 and 1/3

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CCSS.HSF.IF.A.2

What is the purpose of evaluating a function?

• To find the input variable

• To find the output variable

• To graph the function

• To simplify the function

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What happens if you input the same value into a function multiple times?

• The input changes

• The function changes

• You get the same output

• You get different outputs

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CCSS.HSF.IF.A.2

What is the final step in evaluating a function?

• Simplify mathematically

• Find the derivative

• Substitute another value

• Graph the function

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CCSS.HSF.IF.A.2