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Function and Algebra Concepts Questions - All Grades

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(1)?
  1. 0
  2. 1
  3. 2
  4. 3
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(1) from the table below?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Given the table below, what is f⁻¹(3)?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 9 Linear Equations
Which statement about the given equation is NOT true?

3x + 4y = 12
  1. It is in slope-intercept form with a positive slope of 4/3.
  2. It is an example of a linear equation.
  3. It has two variables and has coefficients of 3 and 4.
  4. It represents a line which, when graphed, doesn't pass through the origin.
Grade 9 Radicals CCSS: HSN-RN.A.2
Express the following expression using positive rational exponents.

√4x33√y4
  1. 2x32y2
  2. 4x23y34
  3. 4x32y43
  4. 2x32y43
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y=(12)f(x), the function__.
  1. Vertically compressed by a factor of 12
  2. Horizontally stretched by a factor of 2
  3. Shifts down 12 units
  4. Reflects over the y-axis
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
Which transformation creates this from y = cos(x)?
  1. Vertical stretch by 5
  2. Vertical stretch by 5 and reflect
  3. Vertical stretch by 10
  4. Vertical stretch by 5 and shift up 5
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
A function f(x) is odd if:
  1. f(−x) = f(x)
  2. f(−x) = −f(x)
  3. It stretches vertically when multiplied by k
  4. It shifts up when f(x) + k is applied
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
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
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
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
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
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
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
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
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
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