Rihanna says she can draw different functions that have the same x-intercepts and the same domain and range. Her teammates say, "No that's impossible." But she insists, "We just need to sketch some graphs."

1. x-int. are (-5,0), (2,0), and (6,0), domain is - 5 Is there more than 1 possible function?

2. What if the x-intercepts are (-4,0) and (2,0), domain is all real #'s and the range is y>-8? Is there more than one possible function?

Question

Mathematics

Stafford

13 February, 05:11

Rihanna says she can draw different functions that have the same x-intercepts and the same domain and range. Her teammates say, "No that's impossible." But she insists, "We just need to sketch some graphs."

1. x-int. are (-5,0), (2,0), and (6,0), domain is - 5 Is there more than 1 possible function?

2. What if the x-intercepts are (-4,0) and (2,0), domain is all real #'s and the range is y>-8? Is there more than one possible function?

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Answers (1)

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Matthias Kidd · Answer 1

1) Yes, there are many functions that have those x-intercepts with the same domain.

2) Yes, there are many functions with those x-intercpets, domain and range.

In fact, you might draw as many functions as you want that meet the specifications of both statements.