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Functions and Relations Questions - All Grades

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Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate f(x)=-x+5 for x=-2.
  1. f(-2)=7
  2. f(-2)=10
  3. f(-2)=-7
  4. f(-2)=3
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
What is the domain of the set of ordered pairs?
(8, -13); ( 0, -5) ; (4, -9); (-3,2)
  1. (-3, 0, 4, 8)
  2. (-3, -2)
  3. (-2, -5, -9, -13)
  4. (-3, 8)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. f(x)=4x3+2
  1. f-1(x)=x3-24
  2. f-1(x)=3√x-24
  3. f-1(x)=3√x-24
  4. f-1(x)=3√x-24
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
Coordinate Plane - 5x5 - With Dots
  1. Yes, this does represent a function, because all the points are distinct (none of them are coincident).
  2. No, this does not represent a function, since a function can not be made up of only points.
  3. No, this does not represent a function, since it fails the vertical line test.
  4. No, this does not represent a function, since a function is made up of many more points.
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=√x and g(x)=x2−9, find (f∘g)(4).
  1. √7
  2. 5
  3. 25
  4. Undefined
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=1x​ and g(x)=x+3, find (f∘g)(−2).
  1. - 1
  2. 1
  3. Undefined
  4. 0
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Given f(x)=2x+3 and g(x)=x−3(2), compute (f∘g)(9).
  1. 6
  2. 9
  3. 12
  4. 15
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Which composition gives h(x)=(x−4)3?
  1. f(x)=x3,g(x)=x−4
  2. f(x)=x-4,g(x)=x3
  3. f(x)=x3-4,g(x)=x
  4. Both A and C
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
If (f∘g)(x)=10x−2, which pair is valid?
  1. f(x)=2x−4,g(x)=5x+1
  2. f(x)=10x+10,g(x)=x−12
  3. Both A and B
  4. Neither A nor B
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=1x and g(x)=x−1, the domain of (f∘g)(x)) is:
  1. x>1
  2. x≥1
  3. x≠1
  4. x<1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Let f(x)=1x and g(x)=x2+4. Find (f∘g)(2).
  1. 18
  2. 16
  3. 14
  4. 12
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=1x and g(x)=x−3, the domain of (f∘g)(x) is:
  1. All real numbers
  2. x≠0
  3. x≠3
  4. x>3
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Find f/g(x) for f(x)=x2−1 and g(x)=x−1, and its domain.
  1. x-1; all real numbers except x=-1
  2. x+1; all real numbers except x=1
  3. x+2 all real numbers except x=2
  4. x-3; all real numbers except x=-1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=6x2−x+4 and g(x)=−3x2+2x−5, find f(x)+g(x).
  1. 3x2+x−1
  2. 3x2+x−5
  3. 3x2+x−3
  4. 3x2-x−1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x) = 2x² - 3x and g(x) = x² + x, what is (f - g)(x)?
  1. x² - 4x -4
  2. x² - 3x² - x
  3. x² + 4x
  4. x² - 4x
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
If f(x)=5x2+7x−3 and g(x)=3x2−4x+8 find (f−g)(x).
  1. 2x2+11x+5
  2. 2x2+3x-5
  3. 2x2+11x+11
  4. 2x2+11x-11
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