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(Answer) MATH114N – Week 7 Assignment: Introduction to Functions

QUESTIONS

Question 1

Use the mapping to determine whether the relation is a function.

  • Yes, the relation is a function.
  • No, the relation is not a function.

Question 2

Find the domain and range of the relation.

{(23,4), (−3,8), (−25,−21), (20,13), (21,−14)}

Note: Do not add spaces in your answer.

Question 3

Use the mapping to determine whether the relation is a function.

  • Yes, the relation is a function.
  • No, the relation is not a function.

Question 4

Determine whether y= −2x2 + 1 is a function.

  • yes
  • no

Question 5

Use the graph to find the domain and range of the relation.

Note: no need to repeat the same values in your answer, if applicable.

Question 6

Determine whether −9x – 3y2 = 6 represents a function of x.

  • yes
  • no

Question 7

Use the graph to find the domain and range of the relation.

Question 8

Use the graph to find the domain and range of the relation.

Question 9

Use the mapping to determine whether the relation is a function.

  • Yes, the relation is a function.
  • No, the relation is not a function.

Question 10

Use the set of ordered pairs to determine whether the relation is a function.

{(−19,16),(−16,−2),(−4,14),(1,5),(−20,4),(1,−10)}

  • Yes, the relation is a function.
  • No, the relation is not a function.

Question 11

Use the mapping to determine whether the relation is a function.

  • Yes, the relation is a function.
  • No, the relation is not a function.

Question 12

Use the mapping to determine whether the relation is a function.

  • Yes, the relation is a function.
  • No, the relation is not a function.

Question 13

Determine whether −2x2 − 2y = −6 is a function.

  • yes
  • no

Question 14

Determine whether y2 = −3x − 2 is a function.

  • yes
  • no

ANSWERS:

Question 1

Use the mapping to determine whether the relation is a function.

  • Yes, the relation is a function.
  • No, the relation is not a function.

Answer: No, the relation is not a function.

Question 2

Find the domain and range of the relation.

{(23,4), (−3,8), (−25,−21), (20,13), (21,−14)}

Note: Do not add spaces in your answer.

Answer: domain: {−25, −3, 20, 21, 23}, range: {−21, −14, 4, 8, 13}​

Question 3

Use the mapping to determine whether the relation is a function.

  • Yes, the relation is a function.
  • No, the relation is not a function.

Answer: Yes, the relation is a function.

Question 4…

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