Understanding Functions (Grades 11-12)
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Understanding Functions
1.
Which of the following relations IS a function?
- [math]{(-5,1), (0, -3), (-2, 1), (10,11), (7, 1)}[/math]
- [math]{(9, 3), (6, 2), (3, 2), (3, 1), (6, -2)}[/math]
- [math]{(4, 9), (5, 3), (-2, 0), (5, 4), (8, 1)}[/math]
- All of the relations are functions.
- None of the relations are functions.
2.
Which of the following relations is NOT a function?
- [math]{(0, 1), (1, 0), (2, 1), (3, 1), (4, 2)}[/math]
- [math]{(7, 4), (4, 9), (-3, 1), (1, 7), (2, 8)}[/math]
- [math]{(1, 4), (3, 2), (5, 2), (1, -8), (6, 7)}[/math]
- All of the above are functions.
- None of the above are functions.
3.
What is the range of the function? {(5,1), (6,2), (7,3)}
- {1, 2, 3}
- {5, 6, 7}
- {1, 2, 3, 5, 6, 7}
- {1, 7}
4.
Which of the following is a quadratic function?
- [math]f(x)= x^3 + 5x[/math]
- [math]f(x)= x-5x[/math]
- [math]f(x) = x-9[/math]
- [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]
[math]f(x) = x^2 +3x - 18[/math]
- x = 6, x = -3
- x = 6, x = 3
- x = -6, x = -3
- x = -6, x = 3
6.
If [math]f(x) = 4x +5[/math], find [math]f(5)[/math].
- 5
- 10
- 20
- 25
7.
[math]g(t)=7t+3[/math]
Find [math]g(4t)[/math].
Find [math]g(4t)[/math].
- [math]28t +3[/math]
- [math]28t^2+3[/math]
- [math]28t +12t[/math]
- [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].
Find [math] (g + f) (x) [/math].
- [math]-32x^4-3[/math]
- [math]12x^4 - 3[/math]
- [math]4x^2 -3[/math]
- [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].
[math]g(x)=-2x-4[/math]
Find [math]f(2)-g(2)[/math].
- -8
- 6
- 14
- 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]
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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