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You can create printable tests and worksheets from these Grade 12 Functions and Relations questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Grade 12 Functions and Relations CCSS: HSF-LE.B.5
The function $f(x)=(2x^2-7x+6)/(x^2+2x-8)$ 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
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. $y=(3x)/(x-1)$
2. $y=(x+1)/(x^2 + 5x + 4)$
3. $y=(x-1)/(x^2-5x+4)$
4. $y=(x-4)/(x^2-5x+4)$
How many possible positive, negative, and imaginary zeros are there in the function $q(x)=2x^6+5x^4-x^3-5x-1$?
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
$f(x)=( x-2)/(x^2-16)$ 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)
If $f(x) = x^2-x+20$ then $f(b+1) =$
1. $b^2+18$
2. $b^2+b+20$
3. $b^2+3b+20$