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In this lesson, we will learn how to determine whether a function is linear or nonlinear.

Q1:

Determine whether the given figure represents a linear or nonlinear function.

Q2:

Q3:

Determine whether the table below represents a linear or nonlinear function.

Q4:

Which of the following equations represents a nonlinear function?

Q5:

Q6:

Which of these functions is not linear?

Q7:

Does the shown figure represent a linear function?

Q8:

Determine whether the given table represents a linear or nonlinear function.

Q9:

Determine whether the given table of values must be from a nonlinear function, or could be from a linear function.

Q10:

Is π¦ = 2 π₯ + 8 a linear function?

Q11:

Could the following table of values be from a linear function?

Q12:

Q13:

The table below shows the measures of the heights and bases of several triangles. Are the heights of the triangles a linear function of the bases?

Q14:

Q15:

After graphing the function 2 π¦ = 2 π₯ + 2 π₯ π₯ + π₯ β 8 π₯ 5 2 4 , determine whether it is a linear or a nonlinear function.

Q16:

Determine whether the function π¦ = π₯ + 2 π₯ + 1 2 is a linear or nonlinear function.

Q17:

Is this a graph of a linear or a nonlinear function?

Q18:

Does the equation π¦ = β 8 π₯ represent a linear or a nonlinear function?

Q19:

Determine whether the function π¦ = π₯ + 8 3 is a linear or nonlinear function.

Q20:

Is any cubic function a nonlinear function?

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