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Function and Algebra Concepts Questions - All Grades

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Grade 11 Functions and Relations CCSS: HSF-BF.B.3
What is the phase shift from y=sin(x)?
  1. π4 left
  2. π4 right
  3. π2 left
  4. π2 right
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
What is the value of k in y = log(x - k)?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(−x), the function__.
  1. Reflects over the x-axis
  2. Reflects over the y-axis
  3. Shifts left 1 unit
  4. Vertically stretches by a factor of 1
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = −f(x), the function__.
  1. Reflects over the x-axis
  2. Reflects over the y-axis
  3. Shifts down 1 unit
  4. Shifts up 1 unit
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If compressed horizontally by factor 2, what point would replace (1,1)?
  1. (0.5,1)
  2. (2,1)
  3. (1,2)
  4. (1,0.5)
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Is this function even, odd, or neither?
  1. Even
  2. Odd
  3. Neither
  4. Both
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
A function f(x) is even if:
  1. f(−x) = f(x) (symmetric about the y-axis)
  2. f(−x) = −f(x) (symmetric about the origin)
  3. It shifts left when f(x + k) is applied
  4. It reflects over the x-axis when multiplied by -1
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x − 3), the function                    .
  1. Shifts up 3 units
  2. Shifts down 3 units
  3. Shifts left 3 units
  4. Shifts right 3 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
When reflected over the y-axis, which point becomes (-1,3)?
  1. (1,-3)
  2. (-1,-3)
  3. (1,3)
  4. (3,-1)
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Given the equation of graph of y = f(x), if the graph shifts left 2 units, the new equation is__.
  1. y = f(x) + 2
  2. y = f(x) - 2
  3. y = f(x + 2)
  4. y = f(x - 2)
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
What is the value of b in y = cos(bx)?
  1. 0.5
  2. 1
  3. 2
  4. π
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Which equation matches this description?
  1. y = 2sin(2x - π)
  2. y = sin(2x - π2)
  3. y = 2sin(x - π2)
  4. y = 2sin(2(x - π2))
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = 2f(x), the function                                        .
  1. Vertically stretched by a factor of 2
  2. Horizontally compressed by a factor of 2
  3. Shifts up 2 units
  4. Reflects over the x-axis
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(4x), the function                                                       .
  1. Vertically stretched by a factor of 4
  2. Horizontally compressed by a factor of 14
  3. Shifts right 4 units
  4. Reflects over the y-axis
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x) + 5, the function                    .
  1. Shifts left 5 units
  2. Shifts right 5 units
  3. Shifts up 5 units
  4. Shifts down 5 units
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=x5+3, g(x) = 5x − 15. Compute g(f(x)).
  1. x5
  2. x + 3
  3. 5x
  4. x
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