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Eleventh Grade (Grade 11) Functions and Relations Questions

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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
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
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
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.A.1
[math]f(x)=2x+5[/math] is equivalent to which of the following functions?
  1. [math]y=2x+5[/math]
  2. [math]x=2x+5[/math]
  3. This is not a function.
  4. [math]8=2x+5[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
[math]g(t)=7t+3[/math]
Find [math]g(4t)[/math].
  1. [math]28t +3[/math]
  2. [math]28t^2+3[/math]
  3. [math]28t +12t[/math]
  4. [math]28t^2+12t[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
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-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.3
Which function matches the following description?
An absolute value function that has been reflected about the x-axis, and then shifted up 5 units.
  1. [math]f(x)=|x|+5[/math]
  2. [math]f(x)=-|x| +5[/math]
  3. [math]f(x)=-|x+5|[/math]
  4. [math]f(x)=-|x-5|[/math]
Grade 11 Functions and Relations
Find the x-intercepts of the following function.
[math]f(x) = x^2 +3x - 18[/math]
  1. x = 6, x = -3
  2. x = 6, x = 3
  3. x = -6, x = -3
  4. x = -6, x = 3
Grade 11 Functions and Relations CCSS: HSA-REI.D.11
You graph two functions, [math]f(x)[/math] and [math]g(x)[/math], and they intersect in three places. Which of the following statements MUST be correct?
  1. Neither function is linear.
  2. Solving [math]f(x)=x[/math] or [math]g(x)=x[/math] will give the x-coordinate of the points of intersection.
  3. There are three distinct x values for which [math]f(x)=g(x).[/math]
  4. There are three distinct y values, or output values, for which [math]f(x)=g(x) .[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x) - 2, the function                     .
  1. shifts right 2 units
  2. shifts down 2 units
  3. shifts left 2 units
  4. shifts up 2 units
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Find [math]f(x-4)[/math] given that [math]f(x)=2x-8[/math].
  1. [math]f(x-4)=0[/math]
  2. [math]f(x-4)=2x-16[/math]
  3. [math]f(x-4)=2x[/math]
  4. [math]f(x-4)=1/4[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse for the function.
[math]f(x)=-3/4x+5[/math]
  1. [math]f^-1(x)=(3x-5)/4[/math]
  2. [math]f^-1(x)=3/4(x-5)[/math]
  3. [math]f^-1(x)=(-4x-5)/3[/math]
  4. [math]f^-1(x)=(-4x+20)/3[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
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