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

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Domain and Range - Practice #2

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

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