Review #4

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

What are the zeros of the function  $g\left(x\right)=\left(x+6\right)\left(x-4\right)\left(x+2\right)$  ?

•  $-6,\ -4,\ -2$  

•  $-4,\ 2,\ 6$  

•  $-6\ -2,\ 4$  

•  $2,\ 4,\ 6$  

In the function  $p\left(x\right)=3x\left(x-6\right)^4\left(x+4\right)^3\left(x-5\right)^2$  which zero has a multiplicity of 3?

•  $-4$  

•  $0$  

•  $5$  

•  $6$  

Simplify:
 √24

• 2√6
• 4√6
• 2√12
• 3√8

Identify the Transformations. 

• Vertical stretch by 2 and down 4
• Horizontal compression by ½ and down 4
• Vertical stretch by 2 and up 4
• Horizontal compression by ½ and right 4

The graph of a function is shown.  What are the domain and range of this function?

• Domain: (-∞, ∞)
  Range: (-∞, 2]
• Domain: [2, ∞)
  Range: (-∞, ∞)
• Domain: (-∞, ∞)
  Range: (-∞, ∞)
• Domain: (-∞, 2]
  Range: [2, ∞)

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)
• 1/4 ∛(x - 9)
• - 1/4 ∛(x + 9)
• - 1/4 ∛(x - 9)

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

What are the asymptotes?

• x=-2 and y=-1
• x=-2 and y=1
• x=2 and y=1
• x=2 and y = -1