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Math Questions 15.4 - Reciprocal Graphs

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Types of Graphs Learning Material
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15.4Reciprocal Graphs

Reciprocal Graphs Revision Questions

1. Which of the following is the reciprocal of

1/x + x/2
  1. x + 2/x
  2. x2 + 2/2x
  3. x + 2/x + 1
  4. x + 2/x

Correct Answer: B

2. Which of the following is NOT a reciprocal function?

  1. y = 3/x - 1
  2. y = 3x/x - 1
  3. y = 3x - 1/x
  4. y = 3x/x - 1

Correct Answer: D

3. Which of the following IS a reciprocal function?

  1. y = x2 - 1/x + 1
  2. y = x2+ x + 1/x3 - 1
  3. y = x + 1/x
  4. y = 3 - x/x - 3

Correct Answer: B

4. What are the coefficients a, h and k in the reciprocal function

y = 1 - 2x/x
  1. a = 1, h = 0 and k = -2
  2. a = -2, h = 0 and k = 1
  3. a = 1, h = 1 and k = -2
  4. a = 0, h = -2 and k = 1

Correct Answer: A

5. What is the

y = a/x - h + k

form of the reciprocal function

y = 6 - 2x/2x - 4
  1. y = 1/x - 2 + 3
  2. y = 3/x - 2 + 3/2
  3. y = 3/x - 2 + 3
  4. y = 1/x - 2 - 1

Correct Answer: D

6. What is the horizontal asymptote of the hyperbola produced by the reciprocal function

y = x - 3/x - 2
  1. y = 1
  2. y = 2
  3. y = -1
  4. y = -2

Correct Answer: A

7. What is the vertical asymptote of the hyperbola produced by the reciprocal function

y = 2 - x/2x - 1
  1. 1/4
  2. 1/3
  3. 1/2
  4. 1

Correct Answer: C

8. What are the asymptotes of the reciprocal function graph shown below?

Math Tutorials: Reciprocal Graphs Example
  1. H.A = 1 and V.A. = 1
  2. H.A = -1 and V.A. = 1
  3. H.A = 1 and V.A. = -1
  4. H.A = -1 and V.A. = -1

Correct Answer: C

9. What is the function shown in the graph below?

(Hint! First, identify the asymptotes.)

Math Tutorials: Reciprocal Graphs Example
  1. y = 4/x
  2. y = 4/x + 3
  3. y = 1/x + 2
  4. y = 4/x + 2 + 3

Correct Answer: D

10. What is the equation of the symmetry line of the hyperbola produced by the equation

y = 3/x - 2 + 1
  1. y = x + 1
  2. y = x - 1
  3. y = -x + 1
  4. y = -x - 1

Correct Answer: B

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  5. Continuing learning types of graphs - read our next math tutorial: Exponential Graphs

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