Understanding Function Rules

The video tutorial explains how to write function rules using F(x) for different operations. It covers four parts: Part A multiplies by 3 and adds 5, Part B adds 5 and multiplies by 3, Part C divides by 4 and subtracts 7, and Part D subtracts 7 and divides by 4. Each part emphasizes the importance of following the order of operations to achieve the correct function rule.

What is the first step in writing a function rule?

• Solve an example problem

• Write the function in words

• Choose a variable name

• Identify the operations to perform

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In Part A, what is the final expression for the function?

• 3x + 5

• x + 5

• 5x + 3

• 3(x + 5)

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CCSS.6.EE.A.2C

What operation is performed first in Part B?

• Multiply by 3

• Add 5

• Subtract 7

• Divide by 4

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CCSS.7.EE.A.1

How is the expression written for Part B?

• x - 7

• x + 5

• 3(x + 5)

• 3x + 5

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CCSS.6.EE.A.2C

What is the purpose of using parentheses in Part B?

• To simplify the expression

• To change the order of operations

• To indicate multiplication

• To add clarity

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CCSS.7.EE.B.4A

In Part C, what is the second operation performed?

• Subtract 7

• Add 5

• Multiply by 3

• Divide by 4

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CCSS.7.EE.A.1

What is the expression for Part C?

• x/4 - 7

• 3(x + 5)

• x - 7

• 3x + 5

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CCSS.6.EE.A.2C

In Part D, what is the first operation performed?

• Divide by 4

• Subtract 7

• Add 5

• Multiply by 3

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CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

How can the expression for Part D be written?

• x/4 - 7

• 3x + 5

• 3(x + 5)

• (x - 7)/4

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CCSS.HSF.BF.B.5

Which form is most common for expressing the function in Part D?

• Decimal form

• Logarithmic form

• Fraction form

• Exponential form

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CCSS.HSF.BF.B.5