9.6 Analyze and Compare Functions

A(n) ________________ function will MULTIPLY the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

A(n) ________________ function will ADD the same number each time.

• Linear

• Quadratic

• Exponential

• All of the above

The table below represents the function F. The equation that represents this function is

• F(x) = 3^x

• F(x) = 3x

• F(x) = 2^x + 1

• F(x) = 2x + 3

Which table of values represents a linear relationship?

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The highest possible grade for a book report is 100. The teacher deducts 10 points for each day the report is late.

• Linear

• Quadratic

• Exponential Growth

• Exponential Deccay

If a population of cells triples every hour, which function represents p(t), the population after t hours?

• p(t) = 3(100)^t

• p(t) = 100(3)^t

• p(t) = 3t +100

• p(t) = 100t + 3

Which scenario represents exponential growth?

• A water tank filled at a rate of 2 gallons/minute.

• A vine grows 6 inch every week.

• A species of fly doubles its population every month during the summer.

• A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.

A population that initially has 20 birds approximately doubles every 10 years. Which graph represents this population growth?

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If f(x)=3^x and g(x)= 2x + 5, at which value of x is f(x) < g(x) ?

• -1

• 2

• -3

• 4

The table below shows the average yearly balance in a savings account where interest is compounded annually. No money is deposited or withdrawn after the initial amount is deposited.

Which type of function best models the given data?

• linear function with negative rate of change

• linear function with positive rate of change

• exponential decay function

• exponential growth function