PreCalc Second Semester Final

Describe the transformations.

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

What equation represents the quadratic function?

(Use translations to help )

• y = (x - 4)² + 1

• y = (x + 1)² - 4

• y = (x - 4)² - 1

• y = (x - 1)² - 4

f(x) = 9-3x

g(x) = 5x -7

Find (f + g)(x).

• 14x-10

• -8x+2

• 2x+2

• 2x-2

f(x)=2x+4

g(x)=3x²-1

Find f(x) * g(x)

• 6x⁴+12x³-4x²-8x

• -6x³+12x²+2x-4

• 6x³+12x²-2x-4

• 5x²-18x+20

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f - g)(x).

• x² + 8x + 1
• x² + 6x - 1
• 5x² + 8x - 1
• x² + 8x -1

Given f(x) = 2x and g(x) = x²+3 ,

find (f o g).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Divide by synthetic division.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division. This means, what is the remainder.

• 0

• 10

• 15

• -7

 $x^3-12x^2+41x-42$  

Find all the rational zeros of:

• -2, -3, -7

• 2, 3, 7

• 2, -3, 7

• -2, 3, 7