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This printable supports Common Core Mathematics Standard HSF-IF.A.1

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# Domain and Range - Practice #2 (Grades 11-12)

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## Domain and Range - Practice #2

1.
For the function $g(x) = (4x-3) / (x+2)$, what is its domain?
1. ${x in RR | x != 2, 3/4}$
2. ${x in RR | x != -2, 3/4}$
3. ${x in RR | x != 2}$
4. ${x in RR | x!= -2}$
2.
What is the range of $f(x) = -3*2^(2x-5) ?$
1. $(-3,oo)$
2. $(0,oo)$
3. $(-oo,oo)$
4. $(-oo,0)$
3.
What is the domain of the function $f(x)=3log_2 x ?$
1. $[0,oo)$
2. $(0,oo)$
3. $(3,oo)$
4. $[2,oo)$
5. $(-oo,oo)$
4.
What is the range of the function $y = 4e^(3x-5) + 3 ?$
1. ${y in RR | y >=0}$
2. ${y in RR | y >= 3}$
3. ${y in RR | y > 3}$
4. ${y in RR | y > 12}$
5.
Which of the following is the correct domain for the function $f(x) = 5sqrt(x-3) ?$
1. ${x in RR | x >= 3}$
2. ${x in RR | x >= 0}$
3. ${x in RR | x >= 3/5}$
4. ${x in RR | x <= 3/5}$
6.
Which of the following states the range for the function $h(x) = cos(x) + 1 ?$
1. $[0,2]$
2. $[-1,1]$
3. $(-oo,oo)$
4. $[-2,2]$
7.
Find the domain of $f$ where $f (x) = (x^2-16)/(x^2-3x+2$.
1. (-$oo$, 1) U (1, 2) U (2, $oo$)
2. ($oo$) U ($oo$)
3. (-$oo$, 1) U (2, $oo$)
4. (-$oo$, 1) U [1, 2] U (2, $oo$)
8.
Let $g(x) = sqrt(x^2-4)$. What is the domain of $g(x) ?$
1. $(-oo,oo)$
2. $(-oo,-2] uu [2,oo)$
3. $[-2,2]$
4. $[2,oo)$
9.
State the implied domain of $f(x)=(sqrt(x+5))/(3x-2)$.
1. ${x in RR | x!=2/3}$
2. ${x in RR | -5 <= x < 2/3 or x>2/3}$
3. ${x in RR | x>=-5}$
4. ${x in RR | -5 < x < 2/3 or x > 2/3}$
10.
Find the range of the function $y = e^(-x^2)$.
1. $RR$
2. ${y in RR | y < 0}$
3. ${y in RR | y > 0}$
4. ${y in RR | y > 0 and y <= 1}$
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