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Function and Algebra Concepts Questions - All Grades

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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.B.4, HSF-BF.B.4d
The graph is plotted for y = |x + 2|.
Which domain restriction creates an invertible function?
  1. x ≤ -2
  2. x ≥ -2
  3. -3 ≤ x ≤ -1
  4. Both A and B
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
The graph is plotted for y=ex with domain x ≤ 2.
Is this restricted function invertible?
  1. Yes, because it's strictly increasing
  2. No, because it fails the horizontal line test
  3. Only if further restricted
  4. No, because it's not continuous
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Given f(x)=1x2 Which domain makes f(x) invertible?
  1. x > 0
  2. x < 0
  3. Both A and B
  4. x ≠ 0
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Given f(x)=x2−6x+9 Which domain makes f(x) invertible?
  1. x ≤ 0
  2. x ≥ 3
  3. x > 6
  4. x ≠ 3
Grade 10 Polynomials and Rational Expressions
Match each factored expression with its corresponding expanded form.
__ 2(x-5)2 A. 3x3-27x2
__ 3x2(x-9) B. 2x2+2x-24
__ 2(x+4)(x-3) C. x3-x2-5x+5
__ (x2-5)(x-1) D. 2x2-20x+50
Grade 9 Exponents CCSS: HSN-RN.A.2
Express with positive rational exponents.

3√54x16y-12
  1. 332 212 x8y6
  2. 3x5 (2x)13y4
  3. 3 213y4x163
  4. 3x5y4(2x)13
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
5x+3y=2
3x+5y=-2
  1. (3, 5)
  2. (0, 0)
  3. No Solution
  4. (1, -1)
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
If f(12) = 15, what is f⁻¹(15)?
  1. -12
  2. 15
  3. 12
  4. -15
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
If f(-5) = 3, what is f⁻¹(3)?
  1. -5
  2. 5
  3. -3
  4. 3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(16)?
  1. 5
  2. 7
  3. 9
  4. 11
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
If f(6) = -1, what is f⁻¹(-1)?
  1. 6
  2. -6
  3. 1
  4. -1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(9)?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(2)?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f-1(4)?
  1. -7
  2. 1
  3. -1
  4. 7
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f-1(4)?
  1. -4
  2. 2
  3. -2
  4. Both A and B
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(7)?
  1. 1
  2. 2
  3. 3
  4. 7
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