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Which table represents exponential growth?

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 8.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 7, 11.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 10.

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Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.

0.05

0.5

1.05

5.0

The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

The table represents an exponential function.

Two-thirds

Three-fourths

Four-thirds

Three-halves

The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?

0.5

2.5

1.2, 3, 7.5, 18.75, ...

f(x) = 1.2(2.5)x – 1

f(x) = 2.5(1.2)x – 1

f(x) = 1.2(2.5)x

f(x) = 2.5(1.2)x

Which is the graph of ?

Option

Which equation represents an exponential function with an initial value of 500?

f(x) = 100(5)x

f(x) = 100(x)5

f(x) = 500(2)x

f(x) = 500(x)2

Which table shows exponential decay?

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7.

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.

Which is the graph of f(x) = (4)x?

Option

Which graph is the sequence defined by the function f(x) = 3(2)x-1?

On a coordinate plane, 5 points are plotted. The points are (0, 2), (1, 6), (2, 18), (3, 54), (4, 162).

On a coordinate plane, 5 points are plotted. The points are (1, 2), (2, 6), (3, 18), (4, 54), (5, 162).

On a coordinate plane, 6 points are plotted. The points are (0, 3), (1, 6), (2, 12), (3, 24), (4, 48), (5, 96).

On a coordinate plane, 5 points are plotted. The points are (1, 3), (2, 6), (3, 12), (4, 24), (5, 48).

What is the common ratio of the sequence?-2, 6, -18, 54,...

−3

−2

Which are true of the function f(x) = 49? Select three options.The domain is the set of all real numbers. The range is the set of all real numbers. The domain is x > 0.The range is y > 0.As x increases by 1, each y-value is one-seventh of the previous y-value.

The domain is the set of all real numbers.

The range is the set of all real numbers.

The domain is x > 0.

The range is y > 0.

As x increases by 1, each y-value is one-seventh of the previous y-value.

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

y = 32,000(1.08)x

y = 32,000(0.08)x

y = 34,560(1.08)x

y = 34,560(0.08)x

The table represents an exponential function.

0.2

0.25

0.5

0.75

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?

On a coordinate plane, the point (0, 0.25) is graphed.

On a coordinate plane, the point (0.25, 0) is graphed.

On a coordinate plane, the point (0, 20) is graphed.

On a coordinate plane, the point (20, 0) is graphed.

Which is the graph of ?

Option

Which graph shows exponential growth?

On a coordinate plane, a parabola opens up with vertex at (0, 0).

On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.

On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).

On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).

Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?

f(x) = 20,000(0.85)x

f(x) = 20,000(0.15)x

f(x) = 20,000(1.15)x

f(x) = 20,000(1.85)x

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?

f(x) = 1,200(1.03)x

f(x) = 1,200(0.03)x

f(x) = 1,200(0.97)x

f(x) = 1,200(0.97x)

Several ordered pairs from a continuous exponential function are shown in the table.

The domain is the set of integers, and the range is y > 4.

The domain is the set of integers, and the range is y > 0.

The domain is the set of real numbers, and the range is y > 0.

The domain is the set of real numbers, and the range is y > 4.

Which is the graph of f(x) = 100(0.7)x?

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100).

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100).

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100).

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

y = 360(1.3)x

y = 360(0.3)x

y = 360(0.03)x

y = 360(1.03)x

The table represents an exponential function.

One-fifth

Two-fifths

The points shown on the graph represent the numbers in a geometric sequence.

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