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Eleventh Grade (Grade 11) Functions and Relations Questions

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. [math]f(x) = 4x^3 + 2[/math]
  1. [math]f^{-1}(x) = (x^3-2)/4[/math]
  2. [math]f^{-1}(x) = (root[3](x) - 2)/4[/math]
  3. [math]f^{-1}(x) = root[3]((x-2)/4) [/math]
  4. [math]f^{-1}(x) = root[3](x-2)/4[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
Find the function [math](f/g)(x)[/math] and its domain if [math]f(x) = sqrt(-x)[/math] and [math]g(x) = sqrt(x+5)[/math].
  1. [math](-x)/(x+5); \ \ -5 < x <= 0[/math]
  2. [math](-x)/(x+5); \ \ x!=-5[/math]
  3. [math]sqrt((-x)/(x+5)); \ \ -5 < x <= 0[/math]
  4. [math]sqrt((-x)/(x+5)); \ \ x <-5 or x >= 0[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Which of the following relations IS a function?
  1. [math]{(-5,1), (0, -3), (-2, 1), (10,11), (7, 1)}[/math]
  2. [math]{(9, 3), (6, 2), (3, 2), (3, 1), (6, -2)}[/math]
  3. [math]{(4, 9), (5, 3), (-2, 0), (5, 4), (8, 1)}[/math]
  4. All of the relations are functions.
  5. None of the relations are functions.
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
What is the domain of the function? Assume 1 unit intervals for both axes.
Graph - Square Root Function y=sqrt x
  1. All real numbers
  2. [math](-oo,0)[/math]
  3. [math] [0, +oo)[/math]
  4. [math](-oo, +oo)[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
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 CCSS: HSF-IF.B.5
What is the domain and range of the graphed function?
Graph - Quadratic Function y=-2x^2
  1. Domain and range are all real numbers.
  2. Domain is all real numbers less than zero and range is all real numbers.
  3. Domain is all real numbers and range is all real numbers equal to or less than zero.
  4. None of the above.
Grade 11 Functions and Relations
What is the most common function notation for an equation of a linear function?
  1. y = mx + b
  2. y = ax + bx + c
  3. f(x) = mx + b
  4. f(x) = a(x - h) + k
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
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 CCSS: HSF-IF.B.4
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Which of the following relations is NOT a function?
  1. [math]{(0, 1), (1, 0), (2, 1), (3, 1), (4, 2)}[/math]
  2. [math]{(7, 4), (4, 9), (-3, 1), (1, 7), (2, 8)}[/math]
  3. [math]{(1, 4), (3, 2), (5, 2), (1, -8), (6, 7)}[/math]
  4. All of the above are functions.
  5. None of the above are functions.
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Which most accurately describes how you would transform this function?
[math]f(x)=(x+3)^2-4[/math]
  1. Move the quadratic parent function left 3, then down 4.
  2. Move the quadratic parent function left 4, then down 3.
  3. Move the quadratic parent function right 3, then down 4.
  4. Move the quadratic parent function right 4, then down 3.
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse. [math]f(x) = (x-8)/(x+1)[/math]
  1. [math]f^{-1}(x) = (x-1)/(x+8)[/math]
  2. [math]f^{-1}(x) = -9/(x+1)[/math]
  3. [math]f^{-1}(x) = (-x-8)/(x-1)[/math]
  4. [math]f^{-1}(x) = (x-8)/x[/math]
Grade 11 Functions and Relations
Grade 11 Functions and Relations CCSS: HSF-IF.B.4
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
For the function [math]g(x) = (4x-3) / (x+2)[/math], what is its domain?
  1. [math]{x in RR | x != 2, 3/4}[/math]
  2. [math]{x in RR | x != -2, 3/4}[/math]
  3. [math]{x in RR | x != 2}[/math]
  4. [math]{x in RR | x!= -2}[/math]
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