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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-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-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 CCSS: HSF-IF.C.7, HSF-IF.C.7d
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
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.C.7, HSF-IF.C.7c
When graphing a polynomial function of degree 8, whose leading coefficient is -3, which of the following is correct?
  1. The function tends toward positive infinity as x approaches negative and positive infinity.
  2. The function tends toward negative infinity as x approaches negative and positive infinity.
  3. The function tends toward negative infinity as x approaches negative infinity, and the function tends toward positive infinity as x approaches positive infinity.
  4. The function tends toward positive infinity as x approaches negative infinity, and the function tends toward negative infinity as x approaches positive infinity.
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 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.4
Grade 11 Functions and Relations CCSS: HSF-IF.B.4
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-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]
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]
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