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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.
If $f(x) = x^2-x+20$ then $f(b+1) =$
1. $b^2+18$
2. $b^2+b+20$
3. $b^2+3b+20$