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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 up 2 units
2. Shifts down 2 units
3. Shifts left 2 units
4. Shifts right 2 units
If y = f(x) is transformed to y = f( x+ 2), the function                     .
1. Shifts up 2 units
2. Shifts down 2 units
3. Shifts left 2 units
4. Shifts right 2 units
If y = f(x) is transformed to y = f( x - 2), the function                     .
1. Shifts left 2 units
2. Shifts right 2 units
3. Becomes "fatter"
4. Becomes "longer"
If y = f(x) is changed to y = -f(x), the function                             .
1. is reflected over the x-axis
2. is reflected over the y-axis
3. becomes "skinnier"
4. becomes "fatter"
If y = f(x) is changed to y = f(-x), the function                             .
1. is reflected over the x-axis
2. is reflected over the y-axis
3. becomes "skinnier"
4. becomes "fatter"
If y = f(x) is transformed to y = 2f(x), the function                     .
1. Shifts up 2 units
2. Shifts right 2 units
3. Becomes "fatter"
4. Becomes "longer"
Grade 11 Functions and Relations CCSS: HSF-TF.A.1
$(-4pi)/3$ is equivalent to
1. $(-2pi)/6$
2. $(4pi)/3$
3. $pi/3$
4. $(2pi)/3$
Does the graph below represent a function? What method did you use to determine your answer?
1. no, vertical line test
2. no, horizontal line test
3. yes, vertical line test
4. yes, horizontal line test
If y = f(x) is transformed to y = f(2x), the function                     .
1. Shifts up 2 units
2. Shifts right 2 units
3. Becomes "longer"
4. Becomes "skinnier"
The given domain and range concludes that the following is:

The domain is (-2,-2, 0, 1, 5) and the range is (-2, 0, 1, -2, 5) respectively.
1. A Function, Linear
2. Not A Function, Linear
3. A Function, but not linear
4. Not a Function, and not linear.
$-2g – 3g^2$
1. cubic
2. linear
4. none of the above
If y = f(x) is transformed to y = f(x) - 2, the function                     .
1. Shifts up 2 units
2. Shifts down 2 units
3. Shifts left 2 units
4. Shifts right 2 units
Given the following:

$f(x) = 1, 3, 5, 7, 9$
x = 2, 4, 6, 8, 10

What is true about the given?
1. The range is the values of f(x).
2. The domain is All even integers.
3. The range is All odd integers.
4. The domain and range includes all real numbers.
What is the equation of a linear function?
1. y = mx + b
2. y = ax + bx + c
3. f(x) = mx + b
4. f(x) = a(x - h) + k
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of $y=(5x^2+4)/3$?
1. $-y=+-sqrt(5x^2)+3/4$
2. $-y=(-5x^2-4)/-3$
3. $x=(5y^2+4)/3$
4. $y=+-sqrt((3x-4)/5)$
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of $y=3x+5$?
1. $-y=-3x-5$
2. $y=(x-5)/3$
3. $x=3y+5$
4. $y=1/3x-5$
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