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Understanding Functions (Grades 11-12)

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Understanding Functions

1. 
Which of the following relations IS a function?
  1. [math]{(-5,1), (0, -3), (-2, 1), (10,11), (7, 1)}[/math]
  2. [math]{(9, 3), (6, 2), (3, 2), (3, 1), (6, -2)}[/math]
  3. [math]{(4, 9), (5, 3), (-2, 0), (5, 4), (8, 1)}[/math]
  4. All of the relations are functions.
  5. None of the relations are functions.
2. 
Which of the following relations is NOT a function?
  1. [math]{(0, 1), (1, 0), (2, 1), (3, 1), (4, 2)}[/math]
  2. [math]{(7, 4), (4, 9), (-3, 1), (1, 7), (2, 8)}[/math]
  3. [math]{(1, 4), (3, 2), (5, 2), (1, -8), (6, 7)}[/math]
  4. All of the above are functions.
  5. None of the above are functions.
3. 
What is the range of the function? {(5,1), (6,2), (7,3)}
  1. {1, 2, 3}
  2. {5, 6, 7}
  3. {1, 2, 3, 5, 6, 7}
  4. {1, 7}
4. 
Which of the following is a quadratic function?
  1. [math]f(x)= x^3 + 5x[/math]
  2. [math]f(x)= x-5x[/math]
  3. [math]f(x) = x-9[/math]
  4. [math]f(x) = x^2+3x + 6 [/math]
5. 
Find the x-intercepts of the following function.
[math]f(x) = x^2 +3x - 18[/math]
  1. x = 6, x = -3
  2. x = 6, x = 3
  3. x = -6, x = -3
  4. x = -6, x = 3
6. 
If [math]f(x) = 4x +5[/math], find [math]f(5)[/math].
  1. 5
  2. 10
  3. 20
  4. 25
7. 
[math]g(t)=7t+3[/math]
Find [math]g(4t)[/math].
  1. [math]28t +3[/math]
  2. [math]28t^2+3[/math]
  3. [math]28t +12t[/math]
  4. [math]28t^2+12t[/math]
8. 
[math]g(x)= 8x^2-3[/math] and [math]f(x)= -4x^2[/math].
Find [math] (g + f) (x) [/math].
  1. [math]-32x^4-3[/math]
  2. [math]12x^4 - 3[/math]
  3. [math]4x^2 -3[/math]
  4. [math]4x^4 -3[/math]
9. 
[math]f(x)=6x+2[/math]
[math]g(x)=-2x-4[/math]
Find [math]f(2)-g(2)[/math].
  1. -8
  2. 6
  3. 14
  4. 22
10. 
Given the following relation state the domain and range.
Is the relation a function? Explain why or why not.

[math]{(2,0), (-3,4), (2,-7), (6,4), (-4,1)}[/math]



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