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Eleventh Grade (Grade 11) Functions and Relations Questions

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Grade 11 Functions and Relations
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 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 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 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 = 2f(x), the function                     .
  1. Shifts up 2 units
  2. Shifts right 2 units
  3. Becomes "fatter"
  4. Becomes "longer"
Grade 11 Functions and Relations CCSS: HSF-TF.A.1
[math](-4pi)/3[/math] is equivalent to
  1. [math](-2pi)/6[/math]
  2. [math](4pi)/3[/math]
  3. [math]pi/3[/math]
  4. [math](2pi)/3[/math]
Grade 11 Functions and Relations
Does the graph below represent a function? What method did you use to determine your answer?
  1. no, vertical line test
  2. no, horizontal line test
  3. yes, vertical line test
  4. yes, horizontal line test
Grade 11 Functions and Relations
If y = f(x) is transformed to y = f(2x), the function                     .
  1. Shifts up 2 units
  2. Shifts right 2 units
  3. Becomes "longer"
  4. Becomes "skinnier"
Grade 11 Functions and Relations
The given domain and range concludes that the following is:

The domain is (-2,-2, 0, 1, 5) and the range is (-2, 0, 1, -2, 5) respectively.
  1. A Function, Linear
  2. Not A Function, Linear
  3. A Function, but not linear
  4. Not a Function, and not linear.
Grade 11 Functions and Relations
Grade 11 Functions and Relations
Grade 11 Functions and Relations
[math]-2g – 3g^2[/math]
  1. cubic
  2. linear
  3. quadratic
  4. none of the above
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
Given the following:

[math]f(x) = 1, 3, 5, 7, 9[/math]
x = 2, 4, 6, 8, 10

What is true about the given?
  1. The range is the values of f(x).
  2. The domain is All even integers.
  3. The range is All odd integers.
  4. The domain and range includes all real numbers.
Grade 11 Functions and Relations
What is the 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.4, HSF-BF.B.4a
Which of the following equations is the inverse of [math]y=(5x^2+4)/3[/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-BF.B.4, HSF-BF.B.4a
Which of the following equations is the inverse of [math]y=3x+5[/math]?
  1. [math]-y=-3x-5[/math]
  2. [math]y=(x-5)/3[/math]
  3. [math]x=3y+5[/math]
  4. [math]y=1/3x-5[/math]
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