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Twelfth Grade (Grade 12) Functions and Relations Questions

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Grade 12 Functions and Relations CCSS: HSF-LE.B.5
The function [math]f(x)=(2x^2-7x+6)/(x^2+2x-8)[/math] has:
  1. a vertical asymptote at x=2, a horizontal asymptote of y=2, and a hole at x=-4.
  2. a horizontal asymptote at x=-4 and a hole at x=2.
  3. vertical asymptotes at both x=2 and x=-4.
  4. a horizontal asymptote at x=2 and a hole at x=-4.
  5. a vertical asymptote at x=-4, a horizontal asymptote of y=2, and a hole at x=2.
Grade 12 Functions and Relations CCSS: HSF-IF.C.8b
Grade 12 Functions and Relations
Which of the following functions has a vertical asymptote at x = 1, a horizontal asymptote at y = 0, and a hole at x = 4?
  1. [math]y=(3x)/(x-1)[/math]
  2. [math]y=(x+1)/(x^2 + 5x + 4)[/math]
  3. [math]y=(x-1)/(x^2-5x+4)[/math]
  4. [math]y=(x-4)/(x^2-5x+4)[/math]
Grade 12 Functions and Relations
How many possible positive, negative, and imaginary zeros are there in the function [math]q(x)=2x^6+5x^4-x^3-5x-1[/math]?
  1. 0 positive, 2 or 0 negative, 4 or 6 imaginary
  2. 1 positive, 1 negative, 4 imaginary
  3. 4, 2, or 0 positive, 4, 2, or 0 negative, 6, 4, 2, or 0 imaginary
  4. 2 or 0 positive, 4, 2, or 0 negative, 2 or 0 imaginary
Grade 12 Functions and Relations
[math]f(x)=( x-2)/(x^2-16)[/math] Find the Vertical and Horizontal Asymptotes.
  1. VA: (x=4, x=-4) ; HA: (y=0)
  2. VA: (x=4, x=2) ; HA: (y=4) (y=-4)
  3. VA: (x=4, x=4) ; HA: (y=0)
  4. VA: (x=4) ; HA: (y=0)
Grade 12 Functions and Relations
Grade 12 Functions and Relations
Grade 12 Functions and Relations
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
Grade 12 Functions and Relations CCSS: HSF-IF.A.2
If [math]f(x) = x^2-x+20[/math] then [math]f(b+1) =[/math]
  1. [math]b^2+18[/math]
  2. [math]b^2+b+20[/math]
  3. [math]b^2+3b+20[/math]
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