Unit 3 Test Functions

What is the domain and range of $f\left(x\right)=-\sqrt{x-2}$  ?

Select the correct answers!

• Domain:  $x\ge-2$  
  

• Domain:  $x\ge2$  
  

• Range: $y\le0$  

• Range: $y\ge0$  

Which function does not have the same range as the function given below? $f\left(x\right)=\left|x+1\right|-3$  

•  $f\left(x\right)=-\left|x\right|-3$  

•  $f\left(x\right)=\left(x+5\right)^2-3$  

•  $f\left(x\right)=x^4-3$  

•  $f\left(x\right)=\left(x-2\right)^2-3$  

What is the vertical asymptote for the rational function $f\left(x\right)=-\frac{1}{\left(2x+7\right)^2}-4$  ?

SHOW YOUR WORK ON PAPER!!

Type your answer in the space below as a decimal or fraction using the / (type the letter equal to the number, do not use any spaces)

Tags

CCSS.HSF-IF.C.7D

Given: $g\left(x\right)=\frac{4}{x+2}-9$  

Find the vertical and horizontal asymptote. Then click on the correct answers.

• Vertical asymptote:  x = -2

• Vertical asymptote: y = -9

• Horizontal Asymptote: x = -2

• Horizontal Asymptote y = -9

Tags

CCSS.HSF-IF.C.7D

What is the minimum point for the function $h\left(x\right)=-\left(x+7\right)^2+2$  ?

pick the correct answer!

• (-7,2)

• (7, 2)

• (-7, -2)

• There is no minimum point!

Identify the minimum and maximum of the function

Then check the correct answers. (Round points to the nearest tenth!)

• The minimum point is (-1, -5)

• The minimum point is (-3, -1)

• The maximum point is (-1, -5)

• The maximum point is (-3, -1)

Which functions have atleast two zero(s) on it's graph?

Click the correct answer.

•  $g\left(x\right)=-\left(x+2\right)^2$  

•  $f\left(x\right)=-\left|x-1\right|+4$  

•  $g\left(x\right)=x^3-x^2-12x$  

•  $f\left(x\right)=x^4-16$  

•  $h\left(x\right)=-\sqrt{x+5}+1$  

Tags

CCSS.HSF-IF.C.7C

 What is the x and y-intercept of $f\left(x\right)=\frac{6}{x+8}-2$ ?

SHOW YOUR WORK ON PAPER! Then select the best answer.

• (1.25, 0)

• (0, -5)

• (-5,0)

• (0, 1.25)

Tags

CCSS.HSF-IF.C.7D

Given the function  $f\left(x\right)=\sqrt{x-3}+4$  

What is the vertical and horizontal shift for  $f^{-1}\left(x\right)$  ?
SHOW YOUR WORK ON PAPER!

• Horizontal Shift: 4 units right
  

  Vertical Shift: 3 units up
  

• Horizontal Shift: 4 units left

  Vertical Shift: 3 units up

• Horizontal Shift: 4 units right

  Vertical Shift: 3 units down

• Horizontal Shift: 4 units left

  Vertical Shift: 3 units down
  

Tags

CCSS.HSF.BF.B.3

Given the graph, what is the vertical shift if the parent function was  $f\left(x\right)=x^2$  ?

• 7 units to the right

• 7 units down

• 7 units up

• 7 units to the left