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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-IF.A.1
What x values must be excluded from the domain of $f(x)=(-2)/(x+3) ?$
1. $x = 0$
2. $x = 3$
3. $x = -3$
4. $x = 2$
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: HSN-VM.C.10
Which of the following are identity matrices? There may be more than one correct answer.
1. $[[1,0,0],[0,1,0],[0,0,1]]$
2. $[[1,0,0],[1,0,0],[1,0,0]]$
3. $[[1,0],[0,1]]$
4. $[[1,1],[1,1]]$
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 CCSS: HSF-IF.A.1
Find the Vertical and Horizontal Asymptotes.
$f(x)=( x-2)/(x^2-16)$
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)
A town begins with 100 people and after 100 years has a population of 3200. The population has
1. doubled every 25 years.
3. tripled every 10 years.
4. doubled every 20 years.
Grade 12 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.C.7
What x values must be excluded from the domain of $f(x)=(3x-4)/(6x+3)$?
1. $x=4/3$
2. $x=-3$
3. $x=1/2$
4. $x=-1/2$
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
What x values must be excluded from the domain of $f(x)=(3x)/(7x+21)$?
1. $x=3$
2. $x=-3$
3. $x=0$
4. $x=-7$
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