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Laabri

12/14/2022-Unit 6 Test

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Last updated about 3 years ago
24 Nsɛmmisa

https://www.desmos.com/testing/virginia/scientific

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1.

What is the equation of the asymptote for the graph of:

(give your answer as an equation of a line)

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2.

What is the equation of the asymptote for the graph of:

(give your answer as an equation of a line)

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3.

Which of the following is the equation of the function graphed?

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4.

Given the graph shown, determine the end behavior:

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5.

What is the domain of the function

(give your answer in interval notation)

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6.

What is the range of the function

(give your answer in interval notation)

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7.

What are the domain and range for the exponential function shown below?

  • all real numbers except 1

  • domain

  • range

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8.

Write the equation for the function that would transform the graph of

4 units to the right, 3 units down, and reflected in the x-axis

use

in your answer

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9.

The equation

transforms the parent function

by shifting it:

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10.

Find the inverse of

use

in your answer (show your work for credit)

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11.

Drag and drop the appropriate function into the box:

  • A function that describes exponential decay

  • A function that describes exponential growth

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12.

Find the y-intercept of the following function

give your answer as an ordered pair (x,y)

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13.

Given the functions

what is the value of x? (show your work for credit)

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14.

A new radioactive element is governed by the following formula

where a is the initial mass, m is the current mass, and t is the number of days that has passed.

If the initial mass is 128g, how many days will it take to lose 1/2 it's mass?

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15.

A new radioactive element is governed by the following formula

where a is the initial mass, m is the current mass, and t is the number of days that has passed.

If the initial mass is 128g, how many days will it take for the mass to reach 1g? (show your work for credit)

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16.

t represents the number of years since buying a car and V represents the trade value in dollars. If the given data can best be described using the following formula:

What will the value of the car be 10 years after purchase? (round your answer to the nearest hundreths place..like dollars and cents)

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17.

t represents the number of years since buying a car and V represents the trade value in dollars. If the given data can best be described using the following formula:

What will be the approximate age (t) of the car when it is worth $1000.00? (show your work for credit)

Round your answer to the nearest WHOLE number.

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18.

Condense the expression below into a single logarithm

(show your work for credit)

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19.

Expand the expression below

(show your work for credit)

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20.

Solve. Round your answer to 4 places beyond the decimal

(show your work for credit)

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21.

Solve. Round your answer to 4 places beyond the decimal, if necessary.

(show your work for credit)

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22.

Solve

(show your work for credit)

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23.

Convert to logarithmic form:

(show your work for credit)

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24.

Convert to exponential form:

(show your work for credit)