12/14/2022-Unit 6 Test

Last updated over 2 years ago
24 questions

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

3

What is the equation of the asymptote for the graph of:
(give your answer as an equation of a line)

3

What is the equation of the asymptote for the graph of:
(give your answer as an equation of a line)

3

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

4


Given the graph shown, determine the end behavior:

3

What is the domain of the function
(give your answer in interval notation)

3

What is the range of the function
(give your answer in interval notation)

4

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

  • all real numbers except 1
  • domain
  • range
3

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

3

The equation
transforms the parent function
by shifting it:

3

Find the inverse of

use
in your answer (show your work for credit)

4

Drag and drop the appropriate function into the box:

  • A function that describes exponential decay
  • A function that describes exponential growth
3

Find the y-intercept of the following function
give your answer as an ordered pair (x,y)

3

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

3

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?

4

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)

3

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)

4

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.

3

Condense the expression below into a single logarithm
(show your work for credit)

3

Expand the expression below

(show your work for credit)

3

Solve. Round your answer to 4 places beyond the decimal
(show your work for credit)

3

Solve. Round your answer to 4 places beyond the decimal, if necessary.
(show your work for credit)

4

Solve
(show your work for credit)

3

Convert to logarithmic form:
(show your work for credit)

3

Convert to exponential form:
(show your work for credit)