anonymous
  • anonymous
find the absolute and local maximum and minimum values of f.f(x) = 8 - 2x x ≥ 1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Is this calculus? Or algebra 2?
anonymous
  • anonymous
Find all critical points and plug them in to the function and the highest number is the absolute max and lowest is the absolute min. Dont forget to include 1 since that's one bound.
anonymous
  • anonymous
how do i find the criteria

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anonymous
  • anonymous
Are you taking algebra, or calculus?
anonymous
  • anonymous
Because there are a few ways to do this depending on what you know.
anonymous
  • anonymous
calculus
anonymous
  • anonymous
Ok, so take the derivative of f. What do you have?
anonymous
  • anonymous
-2
anonymous
  • anonymous
Right. So when you are finding local mins/maxes you are looking for places where the derivative is 0. When is -2=0?
anonymous
  • anonymous
never lol
anonymous
  • anonymous
So there are no local mins or maxes. So you just have to look at the value at the "end" points for absolute mins/maxes. Which is to say x=1, there is no other end point because the other bound goes to \(\infty\)
anonymous
  • anonymous
So what is the value at x=1?
anonymous
  • anonymous
6
anonymous
  • anonymous
And what happens as x gets larger? Is f(1)=6 an absolute min or is it a max?
anonymous
  • anonymous
max
anonymous
  • anonymous
so 6 is the max
anonymous
  • anonymous
Yes. And it has no absolute min, and no local mins or maxes.
anonymous
  • anonymous
ok i get it!!!
anonymous
  • anonymous
thank u!
anonymous
  • anonymous
Of course!

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