Test Square Root Functions

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

Tags

CCSS.HSF-BF.B.4A

Identify the transformations for the given function, from the square root parent function.

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

What is the equation of the graph?

• $y=\sqrt{x+3}$

• $y=-\sqrt{x+3}$

• $y=-\sqrt{x}+3$

• $y=\sqrt{x}+3$

Tags

CCSS.HSF-IF.C.7B

What is the x intercept of this function?

 $\sqrt{x+2}-4$  

• (0,-2.59)

• (-2.59,0)

• (14,0)

• (0,14)

Tags

CCSS.HSF-IF.C.7B

Find the inverse function of  $y=\left(x-4\right)^2+3$  

•  $y=\sqrt{x-3}+4$  

•  $y=\sqrt{x+3}-4$  

•  $y=\sqrt{x-3+4}$  

•  $y=\sqrt{3x+1}$  

Tags

CCSS.HSF-BF.B.4A

What is the y intercept of this function?
f(x) = √(2x+4)

• (0,2)
• (-2,0)
• (0,-2)
• It doesn't have one

Tags

CCSS.HSF-IF.C.7B

What is the RANGE of this square root function?

• all real numbers

• $x\ge0$

•  $y\le0$ 

•  $y\ge-3$ 

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the DOMAIN of this square root function?

• all real numbers

• $x\ge1$

• $x\le1$

• $x\ge2$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Given the function

 $f\left(x\right)=\sqrt{x-1}-3$  

What is the MINIMUM value on the interval  $2\le x\le10$  ? 

• -2

• 0

• -3

• 0

Given the function

 $f\left(x\right)=\sqrt{x-1}-3$  

What is the MAXIMUM value on the interval  $2\le x\le10$  ? 

• -2

• 0

• -3

• 0