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Eleventh Grade (Grade 11) Functions and Relations Questions

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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)=(12)x+5, g(x) = 2x − 10. Find f(g(x)).
is g the inverse of f?
  1. Yes, f(g(x)) = x
  2. No, f(g(x)) = x + 10
  3. Yes, f(g(x)) = 2x
  4. No, f(g(x)) = x - 2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = tan(x), g(x) = arctan(x), for −π/2 < x < π/2. Find f(g(x)).
  1. x
  2. tan(x)
  3. arctan(x)
  4. π/2
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
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = sin(x), g(x) = arcsin(x), where −π/2 ≤ x ≤ π/2. Find f(g(x)).
  1. sin(x)
  2. x
  3. arcsin(x)
  4. π/2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=log2(x), g(x) = 2ˣ. Compute f(g(x)).
  1. x²
  2. log2(x)
  3. 2ˣ
  4. x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = 5 − 3x, g(x)=5−x3. Find f(g(x)).
  1. x
  2. 5 − x
  3. x - 3
  4. -3x
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = x⁵, g(x)=x15. What is f(g(x))?
  1. x15
  2. x⁵
  3. x
  4. |x|
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x)=x−12, g(x) = 2x + 1. Find f(g(x)).
is g the inverse of f?
  1. Yes, f(g(x)) = 2x
  2. No, f(g(x)) = x + 1
  3. Yes, f(g(x)) = x
  4. No, f(g(x)) = x2
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
f(x) = x² for x ≥ 0, g(x) = √x. What is f(g(x))?
  1. x
  2. |x|
  3. √x
  4. x²
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4b
The inverse of f(x) = 7 - x is f⁻¹(x) = 7 - x.
  1. True
  2. False
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