Question

x intercept and relative extrema??picture below

Answer 1

set it equal to 0

Answer 2

To find the x intercept you may plug y= 0 and to find the y intercept you may plug x=0 and remember in the 1st function there is a binomial which means there will be 2 answers for x values or knowN as 2 zeros.

Answer 3

what about the relative extrema?

Answer 4

Please, share any thoughts YOU may have, any work YOU have already done. Or, ask some specific questions.

"Relative extrema" refers to relative maxima and relative minima.

How does one find the x-coordinate(s) of such point(s)?

show your calculus and algebra, please.

Answer 5

I broadly know how to find the intercepts. What I am struggling with is the relative extrema for this specific question!

Answer 6

are you allowed to use calculus?

Answer 7

@turningtest they didn't actually tell me how to find it by hand.. I don't know what to do. Do I graph it on the calculator? Then what should I do?

Answer 8

What is meant here by "relative extrema?" I asked you this question eight hours ago, asking you how one would go about finding such points.

First of all, which course are you in? That would decide the level of explanation that someone here might give you. Finding the relative extrema of a quadratic function is straightforward: You merely find the vertex and determine whether you have a max. or a min. at that point.

If you're studying calculus now, that would give you additional tools for answering these questions.

Again I ask you to share your thoughts about this problem, along with any work you may have done so far.

Answer 9

I'm currently in pre calc. When I googled relative extremas on the internet, they stated derivatives, which I haven't learned yet. I'm actually taking an online course (home school) therefore it is difficult to get direct help from real people. I am positive that the question is asking for the local max/min..
For the math questions, do I factor the polynomials to make it quadratic? And I plug in for -b/2a? If so, that was the answer I have been looking for all day. Thank you. I was very confused when the internet was stating derivatives and the line graph to solve this problem. Thanks again

Answer 10

Here is my work. I'm sorry for not showing work on here. I basically found the zeroes and found the vertex.