Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!
 Tweet

##### Browse Questions
• Arts (209)
• English Language Arts (2730)
• English as a Second Language ESL (1352)
• Health and Medicine (398)
• Life Skills (591)
• Math (1431)

• ### Vectors

• #### Trigonometry

• Physical Education (197)
• Science (3591)
• Social Studies (1171)
• Study Skills and Strategies (10)
• Technology (549)
• Vocational Education (648)

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.

Previous Next
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
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. $f(x)=(x+4)^2$
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. $sqrt(3)x - (sqrt(5) -1) sqrt(x)$
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. $f^-1(x)=(-4x+20)/3$
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. $f(x)=-|x-5|$
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
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 $g(x)=|x+4| -2$ 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
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(x + 2), the function                     .
1. shifts up 2 units
2. shifts down 2 units
3. shifts left 2 units
4. shifts right 2 units
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.
If $f(x) =2x-3$ and $g(t)=5+t$, then evaluate $(f(-3))/(g(2)$:
1. $-3/2$
2. 1
3. -5
4. $-9/7$
5. none of these are correct
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Given $f(x)=15-x$, evaluate $f(8)$.
1. $f(8)=15$
2. $f(8)=0$
3. $f(8)=7$
4. $f(8)=8$
Previous Next
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.