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Laabri

Unit 6 Intervention Practice Test

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Last updated about 3 years ago
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Formulas

Exponential function: f(x)=a(b)^x

Exponential GROWTH Function: y=a(1+r)^t

Exponential DECAY Function: y=a(1-r)^t

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1.

Which exponential function matches the values in the table below?

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2.

What are the next three terms in the sequence 20, 10, 5, 2.5, ...?

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3.

When a ball is dropped, the function f(x) =4(0.6)^x models the ball’s height in feet after each bounce, where x is the bounce number. To the nearest hundredth, what is the height after the third bounce?

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4.

The first term of a geometric sequence is 8 and the common ratio is 3. What is the fifth term of the sequence?

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5.

Evaluate y=4(2)^x when x=3

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6.

What is the value of x?

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7.

The population of a town over the past 10 years can be represented with the equation y =2450(1.07)^x.

Which statement below is FALSE?

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8.

Which set of ordered pairs satisfies an exponential equation?

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9.

Select ALL expressions that equal 4 when simplified.

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10.

Complete the table and graph the function.

Click "show your work".

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11.

Does this function represent growth or decay?

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12.

Select the correct Domain and Range for the graph below.

Select TWO:

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13.

A pond has 130 fish, and the population decreases by 8% each day. Find the number of fish in the pond after 4 days.

Round to the nearest whole number.

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14.

Ira has $100 in his savings account. He is looking at two savings plans.

Under Plan A, his account balance can be represented with the equation f(t)=100+10t each year.

Under Plan B, his account balance can be represented with the equation g(t)=100(1.09)^t each year.

Complete the table then select the THREE statements that are TRUE.

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15.

Describe the end behavior for the function:

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16.

A scientist tracked the population of northern sea otters from 2015 to 2020. In 2015 there were 70 sea otters. According to the scientist, the population was increasing at a rate of 18% annually.

Write the function P(t) that describes the population of sea otters as a function of the number of years, t.