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You can create printable tests and worksheets from these Grade 11 Functions and Relations questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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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
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"
If y = f(x) is transformed to y = 0.5f(x), the function                      .
1. becomes "skinnier"
2. becomes "fatter"
3. shifts up 0.5 units
4. shifts down 0.5 units
Describe the symmetry of the function. Justify algebraically.
$f(x)=1/x^2+3$
4. No symmetry
Let $f(x) = 5x-1 and g(x) = 3x^2 + 2x - 1$. Find $(g@f)(x)$.
1. $75x^2 - 20x$
2. $15x^2+10x-6$
3. $75x^2-28x+2$
4. $25x-3$
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. $(-oo,-2)$
Let $f(x) = 5x-2 and g(x)= (3x)/ (2+x)$. Find $(g@f)(x)$.
1. $(15x)/(x+2) - 2$
2. $(15x)/(2+5x)$
3. $(3x(5x-2))/(x+2)$
4. $(15x-6)/(5x)$
If $g(x) = 4/(2-x) and (g@f)(x) = -2/x^2$, find $f(x)$.
1. $(2x^2)/(x^2+1)$
2. $(x-2)/x^2$
3. $2x^2 + 2$
4. $-1/(2(x^2 - 2))$
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. $sqrt(3)x - (sqrt(5) -1) sqrt(x)$
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}
Does the function shown here have an inverse that is also a function?
1. Yes, the inverse is a function.
2. No, the inverse is not a function.
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. $f^-1(x)=(-4x+20)/3$
Identify the one-to-one function:
1. ${(-1,4), (2,7), (-1,9), (5,0)}$
2. ${(-1,4), (3,-6), (-5,6), (1,4)}$
3. ${(3,-4), (-5,9), (2,7), (-1,8)}$
4. ${(-6,5), (2,3), (-3,3), (1,0)}$
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.
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. $f(x)=(x+4)^2$
How is the graph of $g(x)=|x+4| -2$ related to the parent function $f(x)=|x| ?$