# Worksheet: Linear and Nonlinear Functions

Q1:

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

• Aa nonlinear function
• Ba linear function

Q2:

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

• Aa nonlinear function
• Ba linear function

Q3:

Which of the following equations represents a nonlinear function?

• A
• B
• C
• D

Q4:

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

 x y 3 6 9 12 32 25 18 11
• Alinear function
• Bnonlinear function

Q5:

Which of these functions is not linear?

• A
• B
• C
• D

Q6:

Does the shown figure represent a linear function?

• Ano
• Byes

Q7:

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

• Alinear function
• Bnonlinear function

Q8:

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

 π₯ π¦ -value -value β 1 0 1 2 5 2 5 14
• A a nonlinear function
• B a linear function

Q9:

Determine whether the function is a linear or nonlinear function.

• Aa nonlinear function
• Ba linear function

Q10:

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

 π₯ π¦ -value -value 0 2 4 6 1 3 9 19
• AIt must be from a nonlinear function.
• BIt could be from a linear function.

Q11:

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

• Aa nonlinear function
• Ba linear function

Q12:

Is any cubic function a nonlinear function?

• Ayes
• Bno

Q13:

Is a linear function?

• Ayes
• Bno

Q14:

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

 π₯ π¦ -value -value β 1 0 1 2 3 7 5 3 1 β 1
• Ayes
• Bno

Q15:

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

 π₯ π¦ -value -value β 1 0 1 2 5 2 5 14
• Aa nonlinear function
• Ba linear function

Q16:

Determine whether the function is a linear or nonlinear function.

• Aa nonlinear function
• Ba linear function

Q17:

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

• A a nonlinear function
• B a linear function

Q18:

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?

 Base (in) Height (in) 2.4 4.3 5.3 6.3 8.5 7.2 5.1 2.2
• Ano
• Byes

Q19:

Does the equation represent a linear or a nonlinear function?

• Alinear function
• Bnonlinear function

Q20:

After graphing the function , determine whether it is a linear or a nonlinear function.

• AIt is a linear function.
• BIt is a nonlinear function.