Algebra Comparing Functions

• Linear

• Exponential

• Quadratic

• Not a function

Does the table or graph represent a linear or nonlinear function? Explain. (Select all that apply.)

• linear

• nonlinear

• The graph is a straight line.

• The graph is not a straight line

Does the table or graph represent a linear or nonlinear function? Explain. (Select all that apply.)

• linear

• nonlinear

• As x increases by 2, y changes by different amounts.

• As x increases by 2, y increases by 9.

VOLUME: The table shows the volume V (in cubic feet) of a cube with an edge length of x feet. Does the table represent a linear or nonlinear function? Explain. (Select all that apply.)

• linear

• nonlinear

• As x increases by 1, V decreases by different amounts.

• As x increases by 1, V increases by different amounts.

Does the equation represent a linear or nonlinear function? Explain. (Select all that apply.)

• linear

• nonlinear

• You can rewrite the equation in slope-intercept form.

• You cannot rewrite the equation in

  slope-intercept form.

Does the equation represent a linear or nonlinear function? Explain. (Select all that apply.)

• linear

• nonlinear

• You can rewrite the equation in slope-intercept form.

• You cannot rewrite the equation in

  slope-intercept form.

Does the equation represent a linear or nonlinear function? Explain. (Select all that apply.)

• linear

• nonlinear

• You can rewrite the equation in slope-intercept form.

• You cannot rewrite the equation in

  slope-intercept form.

MODELING: The table shows the cost y (in dollars) of x pounds of sunflower seeds. What is the missing y-value that makes the table represent a linear function?

MODELING

: The table shows the cost y (in dollars) of x pounds of sunflower seeds.

b. Write a linear function that represents the cost y of x pounds of seeds. Interpret the slope.

• The slope represents the cost per pound of sunflower seeds.

• The slope represents the pounds per cost of sunflower seeds.

MODELING: The table shows the cost y (in dollars) of x pounds of sunflower seeds.

c. Does the function have a maximum value? Explain your reasoning. (Select all that apply.)

• The function does not have a maximum value because you can always increase the cost by increasing the amount of sunflower seeds purchased.

• The function does have a maximum value because you can always increase the cost by increasing the amount of sunflower seeds purchased.