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

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

Browse Questions

Functions and Relations Questions - All Grades

You can create printable tests and worksheets from these 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 3 of 86 Next
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(4x), the function                                                       .
  1. Vertically stretched by a factor of 4
  2. Horizontally compressed by a factor of 14
  3. Shifts right 4 units
  4. Reflects over the y-axis
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x) + 5, the function                    .
  1. Shifts left 5 units
  2. Shifts right 5 units
  3. Shifts up 5 units
  4. Shifts down 5 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=x5+3, g(x) = 5x − 15. Compute g(f(x)).
  1. x5
  2. x + 3
  3. 5x
  4. x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=(12)x+5, g(x) = 2x − 10. Find f(g(x)).
is g the inverse of f?
  1. Yes, f(g(x)) = x
  2. No, f(g(x)) = x + 10
  3. Yes, f(g(x)) = 2x
  4. No, f(g(x)) = x - 2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = tan(x), g(x) = arctan(x), for −π/2 < x < π/2. Find f(g(x)).
  1. x
  2. tan(x)
  3. arctan(x)
  4. π/2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = sin(x), g(x) = arcsin(x), where −π/2 ≤ x ≤ π/2. Find f(g(x)).
  1. sin(x)
  2. x
  3. arcsin(x)
  4. π/2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=x−12, g(x) = 2x + 1. Find f(g(x)).
is g the inverse of f?
  1. Yes, f(g(x)) = 2x
  2. No, f(g(x)) = x + 1
  3. Yes, f(g(x)) = x
  4. No, f(g(x)) = x2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=log2(x), g(x) = 2ˣ. Compute f(g(x)).
  1. x²
  2. log2(x)
  3. 2ˣ
  4. x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = x² for x ≥ 0, g(x) = √x. What is f(g(x))?
  1. x
  2. |x|
  3. √x
  4. x²
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = 5 − 3x, g(x)=5−x3. Find f(g(x)).
  1. x
  2. 5 − x
  3. x - 3
  4. -3x
Previous Page 3 of 86 Next