Pre-Calc Final Review

How do you find the vertical asymptote of a rational function?

• Set numerator equal to 0
• Set denominator equal to 0
• Plug in 0
• Use Degrees and their rules

How do you find the horizontal asymptote if your degree on the top is bigger?

• You divide the leading coefficients
• It is y=0.
• There isn't one.
• It is y=1.

How do you find the x-intercepts of a rational function graph?

• Set numerator equal to 0
• Set denominator equal to 0
• Plug in 0
• Use Degrees and their rules

What method do you use to find zeros of a polynomial function?

• Guess
• Multiply factors
• Synthetic Division
• Look at end behavior

(x+2)²(x–1)^{3
State the zeros and their multiplicity.}

• 2, x2     -1, x3
• 2, x2      3, x1
• -2, x2     -1, x3
• -2, x2     1, x3

What is the end behavior of this graph:
y=-x²

• x →-∞, y→-∞
  x →∞, y→-∞
• x →-∞, y→∞
  x →∞, y→-∞
• x →-∞, y→-∞
  x →∞, y→∞
• x →-∞, y→∞
  x →∞, y→∞

What is the vertex of the quadratic?
f(x) = 3x²-6x+8

• (-3, 53)
• (-1, 17)
• (1,5)
• (3, 17)

What is the equation of a circle with a center (-2, -4) and a radius of 10.

• (x-2)²+(y-4)²=100
• (x-2)²+(y-4)²=10
• (x+2)²+(y+4)²=10
• (x+2)²+(y+4)²=100

How do you know if a graph is a one-to-one function?

• HLT
• VLT
• VLT and HLT
• What is VLT and HLT?

Which is the equation of a vertical line?

• x = 2y
• x = 4
• y = -5
• y=-5x