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Laabri

Milestones Review: Exponential Functions

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Last updated about 4 years ago
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If you finished all of the questions, try this desmos activity called "Marbleslides: Exponentials".

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1.

Which function is exponential? Explain how you knew.

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2.

What is the formula for the exponential table in the previous question?

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3.

The function f(x) = 550(1.035)x models the amount of money in a certificate of deposit after x years. How much money will there be in 9 years?

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4.

The function f(x) = 125,000(0.99)x, where x is the time in years, models the population of a city. What will the population be in 6 years?

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5.

You decide to buy a used car that costs $12,000. You’ve heard that the car may depreciate at a rate of 15% per year.

Write an equation to represent the price of the car, f(x), in terms of the years since its purchase, x.

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6.

You decide to buy a used car that costs $12,000. You’ve heard that the car may depreciate at a rate of 15% per year.

Use the equation from the previous question to determine the value, rounded to the nearest dollar, of the car after 4 years.

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7.

Write an equation for the exponential function represented by this graph.

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8.

What is the range of the function shown in this graph?

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9.

What is the asymptote of this graph?

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10.

What is the domain of this graph?

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11.

What is the range of this graph?

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12.

What is the y-intercept of this graph?

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13.

When is this graph positive?

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14.

When is this graph negative?

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15.
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16.