Question

Medal and Fan! :)


When looking at a rational function, Charles and Bobby have two different thoughts. Charles says that the function is defined at x = −2, x = 3, and x = 5. Bobby says that the function is undefined at those x values. Describe a situation where Charles is correct, and describe a situation where Bobby is correct. Is it possible for a situation to exist where they are both correct? Justify your reasoning.

Answer 1

I got you, Hold on.

Answer 2

Can you think of a function that is defined at x=-2, 3 and 5? ( meaning: we are allowed to plug these values in for x)

Answer 3

Since we know that functions are undefined at points where the denominator equals 0
\[\frac{ 1 }{(x+2)(x-3)(x-5)}\]

Answer 4

ok

Answer 5

And a situation where Charles is correct would be anything else really

Answer 6

They cannot both be right

Answer 7

hmm ok

Answer 8

If the function was 1/x, then Charles would be correct.

If the functon as 1/((x+2)(x-3)(x-5)), then Bobby would be correct

Answer 9

Something cannot be both defined and undefined at the same points, does this make sense?

Answer 10

yeah I get it now thanks
@Wxlfz can you medal swagmaster47 for me?

Answer 11

I suppose that you could argue that the function is only undefined if your understanding of
mathematics doesn't include the concept of infinity

Answer 12

Suppose all you want.

Answer 13

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