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Examine the graphs of each relation below. Decide if each is a function. Then describe the domain and range of each.

Examine the graphs of each relation below. Decide if each is a function. Then describe-example-1
User ByJeevan
by
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2 Answers

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The rule is

If we draw a vertical or horizontal line through the graph then it must not cut the curve more than once

#1

  • It's not a function as the curve is cut by 3 three times

#2

Yes it's a function

  • Domain:-[-2,3]
  • Range:-[-2,2]
User Deepstop
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7.7k points
8 votes

Answer:

  • See below

Explanation:

Graph a:

  • It is not a function as it fails the vertical line test.
  • Domain and range both are within -3 and 3: x, y = [-3, 3]

Graph b:

  • It is a function as passes the vertical line test.

The domain, the set of x- values:

  • x = [-2, 3]

The range, the set of y-values:

  • y = [-2, 2]
User Challenger
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