1 2) For the given graph a) State the zeros and...

Transcript

00:01 All right, we have f of x is this 1 10th x plus 2 squared and then x minus 1 cubed.

00:11 And all i need to do is look at these exponents for my degree.

00:15 So the degree is the sum of those exponents.

00:17 So 2 plus 3 gives me 5.

00:21 Now what i care about next, i kind of want to look at the graph, but an odd degree with a positive leading coefficient, i'm actually going to answer the second question there.

00:34 That as x goes to positive infinity, a positive leading coefficient always ends up into the right.

00:44 But then the odd has opposite end behavior.

00:49 I'll just write eb.

00:51 So if that was positive infinity here, the one before that, and really i was supposed to circle all of that, the one before that should go to negative infinity because it's the opposite.

01:05 And they had it set up as x goes to negative infinity first.

01:10 So those are that first blank.

01:13 Now letter b, that's letter a, letter b, they wanted the zeros.

01:19 So zeros or x -intercepts are the opposite of these numbers and the multiplicity is the exponent.

01:28 So the multiplicity would be 2 there.

01:30 And same with the next one, the x -intercept is the opposite of that negative 1 and a multiplicity is the exponent of 3.

01:41 Now what's the y -intercept? hopefully i answered all those.

01:45 Oh, it also wants to touch or cross.

01:47 So if you have an even multiplicity, then it just touches.

01:51 I don't know if you have to give a reason, but it's because it's even.

01:55 And if you have an odd multiplicity, then it crosses.

02:01 And so one more thing, it's letter c is the y -intercept is always when x equals zero.

02:08 And it's a little tricky because you actually have to do zero plus two is two squared, which is four.

02:15 And then zero minus one is negative one cubed stays negative one.

02:20 And so you're looking at negative four tenths or negative 0 .4.

02:23 And now when you look at the graph of this, so that's letter d, i'm just going to make kind of a lame y -intercept here at zero, negative 0 .4...

Question

1&2) For the given graph a) State the zeros and multiplicities b) Write a polynomial in factored form c) State the degree and the y - intercept d) Explain the end behavior 1)

Question

1&2) For the given graph a) State the zeros and multiplicities b) Write a polynomial in factored form c) State the degree and the y - intercept d) Explain the end behavior 1)

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