Algebra 2 - Intersession Assignment #3

Which of the following is the function shown in the graph?

• $f\left(x\right)=\sqrt{x+4}-2$

• $f\left(x\right)=\sqrt{x-4}-2$

• $f\left(x\right)=\sqrt{x+2}-4$

• $f\left(x\right)=\sqrt{x-2}+4$

Which function matches the graph?

• A

  f(x) = ∛(x + 3) + 2

• B

  f(x) = − ∛(x - 3) + 2

• C

  f(x) = ∛(x - 3) + 2

• D

  f(x) = ∛(x - 2) + 3

Which of the following is the domain shown in the graph?

• [4, ∞)

• (-∞, ∞)

• [0, ∞)

• [-2, ∞)

Solve the equation.

• A

• B

• C

• D

Which function is graphed?

• f(x) = |x + 5|

• f(x) = |x - 5|

• f(x) = |x| - 5

• f(x) = |x| + 5

Match the graph with the correct equation.

• 
• 
• 
• 

A population of 1500 deer decreases by 2% per year. Write a model a that represents this situation?

• A = 1500(1 - 0.02)^t

• A = 1500(1 - 2)^t

• A = 1500(1 + 0.02)^t

• A = 1500(1 + 2)^t

Sovle for x:
5^{-3x - 1} = 25

• x = -1

• x = -4

• x = -3

• x = 1

Convert log₈x=3 to exponential form.

• 8^x=3

• 3^x=8

• 8³=x

• 3⁸=x

 $\log_a24-\log_a6$  Condense the following expression into a single logarithm:

•  $\log_a\left(\frac{24}{6}\right)$  

•  $\log_a\left(24-6\right)$  

•  $\log_a24^6$  

•  $\log_a144$