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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 $f(x)=(2x^2-7x+6)/(x^2+2x-8)$ 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
Grade 12 Functions and Relations
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
Grade 12 Functions and Relations
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. $y=(3x)/(x-1)$
2. $y=(x+1)/(x^2 + 5x + 4)$
3. $y=(x-1)/(x^2-5x+4)$
4. $y=(x-4)/(x^2-5x+4)$
Grade 12 Functions and Relations
Grade 12 Functions and Relations
Grade 12 Functions and Relations
$f(x)=( x-2)/(x^2-16)$ 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)
Grade 12 Functions and Relations CCSS: HSF-IF.C.8b
A town begins with 100 people and after 100 years has a population of 3200. The population has
1. doubled every 25 years
2. quadruped every 30 years
3. tripled every 10 years
4. doubled every 20 years
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
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