Comparing Rates of Change in Linear, Quadratic, and Exponential Functions

Which student represents a Quadratic Function?

• Beth

• Maria

• Tracy

• None of the above

Tags

CCSS.HSF-IF.C.7A

Who has the greater rate of change?

• Troy has the greater rate of change.

• Lucy has the greater rate of change 

• They have the same rate of change

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which function is linear?

• f(x)

• h(x)

• g(x)

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which of the following statements is true about the rates of change of the functions below? f(x) = 3x g(x) = 3^x

• For every unit x increases, both f(x) and g(x) triple in quantity

• For every unit x increases, f(x) and g(x) increase by 3 units

• For every unit x increases, f(x) triples in quantity and g(x) increases by 3 units

• For every unit x increases, g(x) triples in quantity and f(x) increases by 3 units

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• The rate of change of f(x) is less than the rate of change of g(x)
• The rate of change of f(x) is greater than the rate of change of g(x) 
• The y intercept of f(x) is equal to the rate of change of g(x) 
• The y intercept of f(x) is greater than the rate of change of g(x)

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

For a few months, Dexter recorded the amounts, in fluids ounces, of laundry detergent remaining, y, after he and his family washed x loads of laundry. The equation of the best fit for his data is shown below. Which statement correctly describes the slope of Dexter’s equation of the line of best in the context of the situation?

• The bottle Dexter's family buys hold about 50 fluid ounces of detergent.

• For each load of laundry. Dexter's family uses about 1.6 fluid ounces of detergent.

• With 50 fluid ounces of detergent, Dexter's family can wash about 1.6 loads of laundry.

• With 1.6 bottles of laundry detergent. Dexter's family can wash about 50 loads of laundry.

Tags

CCSS.HSF.LE.B.5

Which student's number pattern is linear?

• Ashley

• Hector

• Jamal

• Karina

Tags

CCSS.8.F.A.3

Which statement is true based on the data in the table?

• f(x) is an exponential function

• g(x) is a linear function

• The y-intercept of g(x) is 10

• The slope of f(x) is 3

Tags

CCSS.8.F.A.3