Want to see correct answers?
Login or join for free!
  Algebra Worksheets
Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!
Share/Like This Page
Filter By Grade

You are browsing Grade 11 questions. View questions in All Grades.

Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 College

Eleventh Grade (Grade 11) Functions and Relations Questions

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 Page 1 of 10 Next
Grade 11 Functions and Relations
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
Grade 11 Functions and Relations
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"
Grade 11 Functions and Relations
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
Grade 11 Functions and Relations
Grade 11 Functions and Relations
Describe the symmetry of the function. Justify algebraically.
[math]f(x)=1/x^2+3[/math]
  1. Symmetric about the x-axis
  2. Symmetric about the y-axis
  3. Symmetric about the origin
  4. No symmetry
Grade 11 Functions and Relations
Let [math]f(x) = 5x-1 and g(x) = 3x^2 + 2x - 1[/math]. Find [math](g@f)(x)[/math].
  1. [math]75x^2 - 20x[/math]
  2. [math]15x^2+10x-6[/math]
  3. [math]75x^2-28x+2[/math]
  4. [math]25x-3[/math]
Grade 11 Functions and Relations
Find the domain of the composite function [math](f@g)(x) if f(x)=x^2 and g(x)=sqrt(x+2)[/math].
  1. [math](-oo,oo)[/math]
  2. [math](-2,oo)[/math]
  3. [math][-2,oo)[/math]
  4. [math](-oo,-2)[/math]
Grade 11 Functions and Relations
Let [math]f(x) = 5x-2 and g(x)= (3x)/ (2+x) [/math]. Find [math](g@f)(x)[/math].
  1. [math](15x)/(x+2) - 2[/math]
  2. [math](15x)/(2+5x)[/math]
  3. [math] (3x(5x-2))/(x+2)[/math]
  4. [math](15x-6)/(5x)[/math]
Grade 11 Functions and Relations
If [math] g(x) = 4/(2-x) and (g@f)(x) = -2/x^2[/math], find [math]f(x)[/math].
  1. [math](2x^2)/(x^2+1)[/math]
  2. [math](x-2)/x^2[/math]
  3. [math]2x^2 + 2[/math]
  4. [math]-1/(2(x^2 - 2))[/math]
Grade 11 Functions and Relations
Let [math]f(x) = 3x^2-5x and g(x)=sqrt(x+2)[/math]. Find [math](g@f)(x)[/math].
  1. [math]3(x+2) - 5sqrt(x+2)[/math]
  2. [math]sqrt(3x^2-5x+2[/math]
  3. [math]-2x + 6[/math]
  4. [math]sqrt(3)x - (sqrt(5) -1) sqrt(x)[/math]
Grade 11 Functions and Relations
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}
Grade 11 Functions and Relations
Does the function shown here have an inverse that is also a function?
Graph - Exponent Function y=2^x
  1. Yes, the inverse is a function.
  2. No, the inverse is not a function.
Grade 11 Functions and Relations
Find the inverse for the following function:
[math]f(x)=-3/4x+5[/math]
  1. [math]f^-1(x)=(3x-5)/4[/math]
  2. [math]f^-1(x)=3/4(x-5)[/math]
  3. [math]f^-1(x)=(-4x-5)/3[/math]
  4. [math]f^-1(x)=(-4x+20)/3[/math]
Grade 11 Functions and Relations
Identify the one-to-one function:
  1. [math]{(-1,4), (2,7), (-1,9), (5,0)}[/math]
  2. [math]{(-1,4), (3,-6), (-5,6), (1,4)}[/math]
  3. [math]{(3,-4), (-5,9), (2,7), (-1,8)}[/math]
  4. [math]{(-6,5), (2,3), (-3,3), (1,0)}[/math]
Grade 11 Functions and Relations
Determine whether the function shown has an inverse that is a function.
Graph - Quadratic Function y=2x^2
  1. Yes, the inverse is a function.
  2. No, the inverse is not a function.
Grade 11 Functions and Relations
Grade 11 Functions and Relations
Which of the following describes a quadratic function that has been shifted to the left 4 units?
  1. [math]f(x)=x^2 +4[/math]
  2. [math]f(x)=x^2-4[/math]
  3. [math]f(x)=(x-4)^2[/math]
  4. [math]f(x)=(x+4)^2[/math]
Grade 11 Functions and Relations
Grade 11 Functions and Relations
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
Grade 11 Functions and Relations
How is the graph of [math]g(x)=|x+4| -2[/math] related to the parent function [math]f(x)=|x| ?[/math]
  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
Previous Page 1 of 10 Next
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.