Linear Function Identification: Analyzing Mathematical Expressions

Determine which of the following expressions describes a linear function?

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Step-by-step video solution

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00:04 Which equations represent a linear function?
00:08 Let's simplify each equation to find out.
00:12 Any equation with X to a power is not linear.
00:17 We'll apply this method to all equations: simplify and observe.
00:27 These also have X to a power, so they're not linear.
00:33 This equation fits the rules for a linear function.
00:38 And that's how we solve this problem!

Step-by-step written solution

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1

Understand the problem

Determine which of the following expressions describes a linear function?

2

Step-by-step solution

Note that in answer A there is an exponent, therefore the answer is incorrect.

Note that in answer C, if we multiply X by X we get X to a power, therefore the answer is incorrect.

Note that in answer D there is an exponent, therefore the answer is incorrect.

In answer B the following formula can be observed.

y=mx+b y=mx+b

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Final Answer

y=4x+1 y=4x+1

Practice Quiz

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Which statement best describes the graph below?

xy

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