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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. ${(-5,1), (0, -3), (-2, 1), (10,11), (7, 1)}$
2. ${(9, 3), (6, 2), (3, 2), (3, 1), (6, -2)}$
3. ${(4, 9), (5, 3), (-2, 0), (5, 4), (8, 1)}$
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. ${(0, 1), (1, 0), (2, 1), (3, 1), (4, 2)}$
2. ${(7, 4), (4, 9), (-3, 1), (1, 7), (2, 8)}$
3. ${(1, 4), (3, 2), (5, 2), (1, -8), (6, 7)}$
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. $f(x)= x^3 + 5x$
2. $f(x)= x-5x$
3. $f(x) = x-9$
4. $f(x) = x^2+3x + 6$
5.
Find the x-intercepts of the following function.
$f(x) = x^2 +3x - 18$
1. x = 6, x = -3
2. x = 6, x = 3
3. x = -6, x = -3
4. x = -6, x = 3
6.
If $f(x) = 4x +5$, find $f(5)$.
1. 5
2. 10
3. 20
4. 25
7.
$g(t)=7t+3$
Find $g(4t)$.
1. $28t +3$
2. $28t^2+3$
3. $28t +12t$
4. $28t^2+12t$
8.
$g(x)= 8x^2-3$ and $f(x)= -4x^2$.
Find $(g + f) (x)$.
1. $-32x^4-3$
2. $12x^4 - 3$
3. $4x^2 -3$
4. $4x^4 -3$
9.
$f(x)=6x+2$
$g(x)=-2x-4$
Find $f(2)-g(2)$.
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.

${(2,0), (-3,4), (2,-7), (6,4), (-4,1)}$

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