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# Functions and Relations Questions - All Grades

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Given f(x)=x + 1, find f(2r).
1. 3r
2. 3rx + 1
3. 2rx
4. 2r + 1
If y = f(x) is transformed to y = f(x) - 2, the function                     .
1. shifts right 2 units
2. shifts down 2 units
3. shifts left 2 units
4. shifts up 2 units
When y is written as f(x).
1. Function Rule
2. Function Notation
3. Function Variable
Find the domain of the composite function $(f@g)(x) if f(x)=x^2 and g(x)=sqrt(x+2)$.
1. $(-oo,oo)$
2. $(-2,oo)$
3. $[-2,oo)$
4. $(-oo,-2)$
Which of the following describes a quadratic function that has been shifted to the left 4 units?
1. $f(x)=x^2 +4$
2. $f(x)=x^2-4$
3. $f(x)=(x-4)^2$
4. $f(x)=(x+4)^2$
Which function matches the following description?
An absolute value function that has been reflected about the x-axis, and then shifted up 5 units.
1. $f(x)=|x|+5$
2. $f(x)=-|x| +5$
3. $f(x)=-|x+5|$
4. $f(x)=-|x-5|$
Describe the symmetry of the function. Justify algebraically.
$f(x)=1/x^2+3$
4. No symmetry
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Let $f(x) = 3x^2-5x and g(x)=sqrt(x+2)$. Find $(g@f)(x)$.
1. $3(x+2) - 5sqrt(x+2)$
2. $sqrt(3x^2-5x+2$
3. $-2x + 6$
4. $sqrt(3)x - (sqrt(5) -1) sqrt(x)$
How is the graph of $g(x)=|x+4| -2$ related to the parent function $f(x)=|x| ?$
1. Moves right 4, moves down 2
2. Moves right 4, moves up 2
3. Moves left 4, moves down 2
4. Moves left 4, moves up 2
Find the inverse for the following function:
$f(x)=-3/4x+5$
1. $f^-1(x)=(3x-5)/4$
2. $f^-1(x)=3/4(x-5)$
3. $f^-1(x)=(-4x-5)/3$
4. $f^-1(x)=(-4x+20)/3$
Determine whether the function shown has an inverse that is a function.
1. Yes, the inverse is a function.
2. No, the inverse is not a function.
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}
How is the graph of $g(x)=|x-3| +1$ related to the parent function $f(x)= |x| ?$
1. Moves right 3, moves down 1
2. Moves right 3, moves up 1
3. Moves left 3, moves down 1
4. Moves left 3, moves up 1
If y = f(x) is transformed to y = f(0.5x), the function                       .
1. shifts left 0.5 units
2. shifts right 0.5 units
3. becomes "skinnier"
4. becomes "fatter"