extreme values are where there is a maximum or minimum. At those points the curve changes direction, so it is neither increasing nor decreasing. Its slope is zero at those points.
So, how are you supposed to identify them? Graphically? Analytically? Since this is pre-cal, I assume you haven't yet learned about derivatives, so that makes things tough.
If you visit
http://rechneronline.de/function-graphs/
and enter your function, set the range (y-limits) to be -10 and 10, and you can see where the extrema are.
Hi,
I am having a problem trying to find and understanding how to find the extreme values. I have a problem which I can't do. Will someone please explain for me how to do it. I would like to be able to do other similar problems. This is the problem I am stuck on: f(x)= x^4 – 4x^3 – x^2 + 12x – 2. Identify the extreme values.
Thank you in advance,
Cat
3 answers
We are supposed to graph the equation then we are supposed to find the extreme values. I tried graphing it and I tried finding the extreme values. I came up with the max 5 and the min are -9 and -2. I am not sure if they are right because I watched a video online and didn't understand much of it. Thanks
I get:
max at f(1.14371) = 6.14328
min at f(-0.93854) = -10.0605
min at f(2.7948) = -2.58273
max at f(1.14371) = 6.14328
min at f(-0.93854) = -10.0605
min at f(2.7948) = -2.58273