2.5-2.7 Review

Transform f(x) = x² by shift left 7

• g(x) = (x + 7)²

• g(x) = 7x²

• g(x) = (x- 7)²

• g(x) = 1/7x²

Vertically stretch f(x) = 3x³ + 4x + 2 by 4

• g(x) = 7x³ + 8x + 6

• g(x) = -1x³ - 2

• g(x) = 12x³ + 16x + 8

• g(x) = 12x³

Transform f(x) =

 $\left|x\right|$  by a shift right 8 and a reflection over the x-axis

• g(x) =  $\left|-x\ -\ 8\right|$  

• g(x) = - $\left|x\ -\ 8\right|$  

• g(x) =  $\left|-x\ +\ 8\right|$  

• g(x) =  $-\left|8x\right|$  

f(x) = x + 4 and g(x) = 2x; Find  $f\left(x\right)\ \times g\left(x\right)$  

• 3x + 4

• 2x

•  $2x^2\ +\ 4$  

•  $2x^2\ +\ 8x$  

f(x) = 5x + 1 and g(x) = x²; Find f(g(3))

• 16

• 46

• 106

• 214

f(x) = 2x + 7 and g(x) =  $x^3$   ; Find f(g(x))

•  $2x^3\ +\ 7$  

•  $x^3\ +\ 2x\ +\ 7$  

•  $2x^4\ +\ 7x^3$  

•  $9x^3$  

True or False: The Horizontal Line Test says if a graph passes the test, then its inverse is a function

• True

• Fasle

Find the inverse for f(x) = 3x + 5

• $f\left(x\right)^{-1}\ =\ \frac{x-5}{3}$

• $f^{-1}\left(x\right)\ =\ -3x\ -\ 5$

• $f^{-1}\left(x\right)\ =\ -3x\ +\ 5$

• $f\left(x\right)\ ^{-1}\ =\ \frac{1}{3}x\ -\ 5$