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Quiz 6-3: Graphing and Exponential Growth\Decay

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Last updated over 3 years ago
23 Nsɛmmisa
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1.

What is the y-intercept (initial value) of the function

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2.

Which of the following functions shows an intital amount of $15 and an increase of 35% each year?

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3.

What is the inital value of the situation represented by

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4.

A new savings account is opened with $400 and gains 3% every year. Which equation best represents this situation?

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5.

Which letter represents a Vertical Shift

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6.

There is a vetical stretch of 1/2

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7.

This is a exponential growth equation

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8.

The equation of asymptote line

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9.

The y-intercept

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10.

Match the function with its graph. Show your work to suppor your answer.

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11.

Tell whether the function represents exponential growth or exponential decay.

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12.

Match the function with its graph. Show your work to suppor your answer.

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13.

Tell whether the function represents exponential growth or exponential decay.

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14.

Tell whether the function represents exponential growth or exponential decay.

In the show your work box, explain how you know the function is exponential growth or decay.

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15.

Graph the function: (2 points)

Include at least 5 points in your table (4 points) and plot the "nice" points.

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16.

Using your graph from #6, what is the horizontal asymptote?

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17.

Graph the function: (2 points)

Include at least 5 points in your table (4 points) and plot the "nice" points. (HINT: Start at x = -4)

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18.

Describe the error in the graph below as it relates to the parent function.

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19.

Give a reason in the show your work section to justify your answer. Which graph is f(x).

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20.

Give a reason in the show your work section to justify your answer. Which graph is g(x).

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21.

You purchased a car for $24,000 and find that it will depreciate at a rate of 15.5% per year. Write a model to represent the value v (in dollars) after t (in years)

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22.

From 1997 to 2002, the number, n (in millions) of DVD players sold in the United States can be modeled by

where t = the number of years since 1997.

Estimate the number of DVD players sold in 2001.

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23.

You buy a new mountain bike for $200. The value of the bike decreases by 25% each year. Write a model giving the mountain bike's value y (in dollars) after t years.