SOLUTION: I'm having some trouble remembering the answer to this question: If a function f has exactly one x-intercept. Does that mean it's a linear function? I really appreciate your

Algebra ->  Functions -> SOLUTION: I'm having some trouble remembering the answer to this question: If a function f has exactly one x-intercept. Does that mean it's a linear function? I really appreciate your      Log On


   

Question 1040379: I'm having some trouble remembering the answer to this question:
If a function f has exactly one x-intercept. Does that mean it's a linear function?
I really appreciate your help, thank yoU!
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
I'm having some trouble remembering the answer to this question:
If a function f has exactly one x-intercept. Does that mean it's a linear function?
I really appreciate your help, thank yoU!
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It doesn't mean.

As an example (or contr-example) consider y = 2%5Ex+-2 whose plot is below:

graph%28+330%2C+330%2C+-10.5%2C+10.5%2C+-10.5%2C+10.5%2C%0D%0A++++++++++2%5Ex+-+2%0D%0A%29

Figure. Plot y = 2%5Ex-2

I do not advise you to keep such things in your memory.

Do not try to memorize it.

But you should be able to quickly get the answer based on your common sense.