Linear and Nonlinear Functions

• A. Linear; function

• B. Non-linear; function

• C. Non-linear; not a function

• D. Linear; not a function

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CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

Several functions represent different savings account plans. Which function is non-linear?

• A. y = 5.50x + 7

• B. y = 5.50(1.50)³

• C. y =0.5(x)²

• D. y = 7.25x

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CCSS.8.F.A.3

• a. y = -1x + 8

• b. y = 3x +5

• c. y = -3x + 5

• d. y = 3/2x - 1

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Use the table below to determine whether or not the sum of the measures of the angles in a polygon is a linear function of the number of sides.

• A. Linear, because the table has a constant rate of change.

• B. Non-linear, because the table doesn't have a constant rate of change

• C. Linear, because the table does not have a constant rate of change.

• D. Non-linear, because the table does have a constant rate of change.

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CCSS.HSF.LE.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

Which equation represents a linear function?

Hint: Focus on the variable & the exponent

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CCSS.8.F.A.3

Which table of values represents a LINEAR function?

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CCSS.8.F.A.3

To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be presented by an equation of the form y = mx + b, where x = the time in months and y = the total cost in dollars. What is the value of b in this equation?

• A. 30

• B. 45

• C. 75

• D. 105

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CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Which table represents a nonlinear function?

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CCSS.8.F.A.3

Which set of ordered pairs (x, y) represents a linear function of x?

• A. (-2,8), (0, 4), (2,3), (4, 2)

• B. (1,2), (1,3), (1,4), (1,5)

• C. (-2, 7), (0, 12), (2, 17), (4, 22)

• D. (3, 5), (4, 7), (3, 9), (5, 11)

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Which explanation below correctly describes the equation y = 3² - 4x.

• A. Non-linear, because the 3 is squared.

• B. Linear, because the 3 is squared.

• C. Linear, because the equation is written in y = mx + b.

• D. Non-linear because the variable x doesn't have an exponent.

Tags

CCSS.8.F.A.3