Sem 1 Final Review 2023

Find the maximum number of turning points, end behavior, and number of complex solutions.

• Turning Points: 4

  End Behavior: down, up

  Complex Solutions: 4

• Turning Points: 2

  End Behavior: down, up

  Complex Solutions: 3

• Turning Points: 3

  End Behavior: up, up

  Complex Solutions: 4

• Turning Points: 5

  End Behavior: up, up

  Complex Solutions: 4

Find the vertical and the horizontal/slant asymptotes:

• x=3

  y=x+3

• x=-4, 3

  y=x+3

• x=-3

  y=1

• x=3, -4

  y=1

Factor the following polynomial:

• (x-4)(x-2)

• (x^2-2)(x^2+3)

• (x^2+2)(x+2)

• (x^2-2)(x+2)(x-2)

Simplify

• 4a^10b^4.5

• 4a^8b^9

• 4a^16b^9

• 4a^3b^7.5

Find f(-2)

• -3
• 6
• 8
• -6

Find f(0)

• -3

• 18

• 4

• 0

Eliminate the fractions, simplify into a polynomial (Don't solve!)

• 4x^2+9x-3=0

• 4x^2+12x-5=0

• 2x^2+3x-3=0

• x^2+6x-7=0

Determine the inverse for the function:

P (x) = 2x² + 1