6.5 - 6.8 Review

 $f\left(x\right)=x^2\ and\ g\left(x\right)=2x\ +\ 3$  Write an expression that represents the following composition:  $g\left(f\left(x\right)\right)$  

•  $2x^2+3$  

•  $x^2$  

•  $2x\ +3$  

•  $2x^3+2x^2$  

Tags

CCSS.L.1.5A

CCSS.L.1.5B

CCSS.L.K.5A

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)
• (-3,-1)(-4,-2)(-8,-6)
• (1,3)(2,4)(6,8)
• (-1,-3)(-2,-4)(-6,-8)

Tags

CCSS.HSF-BF.B.4C

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Tags

CCSS.HSF-BF.B.4A

What is the first step in finding the equation of the inverse of a function?

• get x by itself
• switch x and y
• solve for y
• write the function in inverse function notation

Tags

CCSS.HSF-BF.B.4A

To graph the inverse of a function... (select all the apply)

• Rotate it around the origin

• Reflect it across the x-axis

• Reflect it across the y-axis

• Switch the x and y coordinates and plot the new points

• Reflect it across the line y = x

What is the Domain of ALL Cube Root Functions?

• (−∞,∞)
• [0,∞)
• (−∞,0]
• All Cube Root Functions are different.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

What are the transformations of this functions compared to the parent function?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformations.

• Translate Right 2, Down 4
• Translate Left 2, Down 4
• Translate Left 2, Up 4
• Translate Right 2, Up 4

Tags

CCSS.6.NS.C.6B