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(Answer) MATH114N – Week 8 Assignment: The Vertical Line Test and Graphs of Functions

QUESTIONS

Question 1

Determine whether the graph shown is the graph of a function.

  • The graph represents a function.
  • The graph does NOT represent a function.

Question 2

Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Question 3

Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Question 4

Determine whether the graph shown is the graph of a function.

  • The graph represents a function.
  • The graph does NOT represent a function.

Question 5

Identify the parent function of the function whose graph is shown below.

f(x)=b

f(x)=mx+b

f(x)=x2

f(x)=x3

f(x)=√x

f(x)=|x|

Question 6

Identify the parent function of the function whose graph is shown below.

f(x)=b

f(x)=mx+b

f(x)=x2

f(x)=x3

f(x)=√x

f(x)=|x|

Question 7

Identify the parent function of the function whose graph is shown below.

f(x)=b

f(x)=mx+b

f(x)=x2

f(x)=x3

f(x)=√x

f(x)=|x|

Question 8

Identify the parent function of the function whose graph is shown below.

f(x)=b

f(x)=mx+b

f(x)=x2

f(x)=x3

f(x)=√x

f(x)=|x|

Question 9

Determine whether the graph shown is the graph of a function.

  • The graph represents a function.
  • The graph does NOT represent a function.

Question 10

Determine whether the graph shown is the graph of a function.

  • The graph represents a function.
  • The graph does NOT represent a function.

Question 11

Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Question 12

Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

ANSWERS:

Question 1

Determine whether the graph shown is the graph of a function.

  • The graph represents a function.
  • The graph does NOT represent a function.

Answer: The graph does NOT represent a function.

Question 2

Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Answer: domain:  [−7,7],  range:  [−7,3]​

Question 3

Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Answer: …

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