3.2 Practice

A linear equation in two variables, x and y​ , is an equation that can be written in the form _________where m​  and b​ are constants

• y=2x+m

• y=mx+b

• y=mb+x

• x=my+b

How can you tell whether a graph shows a discrete domain or a continuous domain?

A graph with a discrete domain will consist of ______ , while the graph with a continuous domain will show_______.

• individual points; a line or curve

• a line or curve; individual points

• a vertical line; individual points

• individual points; a vertical line

Determine whether the graph represents a linear or nonlinear function. Explain.

• Nonlinear because the graph is a straight line.

• Nonlinear because the graph is not a straight line.

• Linear because the graph is a straight line.

• Linear because the graph is not a straight line.

Determine whether the graph represents a linear or nonlinear function. Explain.

• Nonlinear because the graph is not a straight line.

• Linear because the graph is not a straight line.

• Nonlinear because the graph is a straight line.

• Linear because the graph is a straight line.

Explain why the table is a linear function (select all that apply)

• As the x-value increases by 1, the y-value increases by 5.

• The rate of change isn't constant.

• The rate of change is constant.

• The y-value increases by the same amount.

Explain why the table represents a nonlinear function (select all that apply).

• The rate of change is constant.

• The rate of change is not constant.

• The y-values decrease by different amounts.

• The x-value increases by different amounts.

Describe the error in determining whether the table represents the linear function.

• The function is nonlinear because the increase in the y-value isn't constant.

• The function is linear because the increase in the y-value isn't constant.

• The function is nonlinear because the increase in the x-value is constant.

• The function is linear because the increase in the x-value isn't constant.

Determine whether the equation represents a linear or nonlinear function.

• Linear because it has x

• Nonlinear because is can't be written in the form, y=mx+b

• Linear because it has a x and a y

• Non linear because 13 is a prime number

Determine whether the equation y=7-3x is a linear or nonlinear function.

• Linear because it can be written in the form y=mx+b

• Linear because it can't be written in the form y=mx+b

• Nonlinear because it has a negative 3x

• Linear because it looks about right

In the equation y= -2x-4 what are m and b?

• m=2

  b=4

• m=-2

  b=-4

• m=4

  b=2

• m=-4

  b=-2