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Eleventh Grade (Grade 11) Functions and Relations Questions

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Grade 11 Functions and Relations
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
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: HSF-IF.C.9
At what values of the domain is the function [math]f(x)= x-2[/math] less than the function represented in the graph below?
Graph - Quadratic Function y=-x^2
  1. All real numbers
  2. Nowhere
  3. [math]-1 < x < 0[/math]
  4. [math]-2 < x < 1[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Given [math]f(x)=15-x[/math], evaluate [math]f(8)[/math].
  1. [math]f(8)=15[/math]
  2. [math]f(8)=0[/math]
  3. [math]f(8)=7[/math]
  4. [math]f(8)=8[/math]
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
The                        variable depends on the                        variable.
  1. independent; dependent
  2. dependent; independent
  3. constant; independent
  4. first; second
Grade 11 Functions and Relations
If y = f(x) is transformed to y = f(x) + 2, the function                     .
  1. Shifts up 2 units
  2. Shifts down 2 units
  3. Shifts left 2 units
  4. Shifts right 2 units
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Evaluate [math]f(24)[/math] given that [math]f(x)=1/2x+7[/math].
  1. [math]f(24)=2[/math]
  2. [math]f(24)=-34[/math]
  3. [math]f(24)=34[/math]
  4. [math]f(24)=19[/math]
Grade 11 Functions and Relations
If y = f(x) is transformed to y = f( x+ 2), the function                     .
  1. Shifts up 2 units
  2. Shifts down 2 units
  3. Shifts left 2 units
  4. Shifts right 2 units
Grade 11 Functions and Relations
If [math]f(x) = x^2-3x+9 [/math], what is [math]f(9)[/math]?
  1. 0
  2. 54
  3. 45
  4. 63
Grade 11 Functions and Relations
If y = f(x) is changed to y = f(-x), the function                             .
  1. is reflected over the x-axis
  2. is reflected over the y-axis
  3. becomes "skinnier"
  4. becomes "fatter"
Grade 11 Functions and Relations
If y = f(x) is transformed to y = f( x - 2), the function                     .
  1. Shifts left 2 units
  2. Shifts right 2 units
  3. Becomes "fatter"
  4. Becomes "longer"
Grade 11 Functions and Relations
If y = f(x) is changed to y = -f(x), the function                             .
  1. is reflected over the x-axis
  2. is reflected over the y-axis
  3. becomes "skinnier"
  4. becomes "fatter"
Grade 11 Functions and Relations
If [math]f(x)=3x-4[/math] and [math]f(g(x))=x[/math], then [math]g(x)[/math] is
  1. [math]1/(3x-4)[/math]
  2. [math](x+4)/3[/math]
  3. [math]3-4x[/math]
  4. [math]4x-3[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of [math]y=(5x^2+4)/3, x>=0[/math]?
  1. [math]-y=+-sqrt(5x^2)+3/4[/math]
  2. [math]-y=(-5x^2-4)/-3[/math]
  3. [math] x=(5y^2+4)/3[/math]
  4. [math]y=sqrt((3x-4)/5)[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Evaluate [math]f(2x)[/math] given that [math]f(x)=28+4x[/math].
  1. [math]f(2x)=4[/math]
  2. [math]f(2x)=7[/math]
  3. [math]f(2x)=28[/math]
  4. [math]f(2x)=8x+28[/math]
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