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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.4, HSF-BF.B.4a
Find the inverse of the following function. f(x)=4x3+2
  1. f-1(x)=x3-24
  2. f-1(x)=3x-24
  3. f-1(x)=3x-24
  4. f-1(x)=3x-24
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
The graph is plotted for y=ex with domain x ≤ 2.
Is this restricted function invertible?

  1. Yes, because it's strictly increasing
  2. No, because it fails the horizontal line test
  3. Only if further restricted
  4. No, because it's not continuous
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f-1(4)?
  1. -4
  2. 2
  3. -2
  4. Both A and B
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(1)?
  1. -4
  2. -1
  3. 2
  4. Undefined
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(-52)?
  1. -4
  2. 5
  3. -52
  4. Undefined
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
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