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Select all the points which are relative minimums of this graph of a polynomial function.





a
Point A
b
Point B
c
Point C
d
Point D
e
Point E
f
Point F
g
Point G

Select all the points which are relative minimums of this graph of a polynomial function a Point A b Point B c Point C d Point D e Point E f Point F g Point G class=

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oladayoademosu

The relative minimum are

  • d. Point D and
  • f .Point F

How to find the relative minimums of the polynomial function?

To find the relative minimum, the point has to satisfy the following conditions

  • The tangent at that point must be equal to zero
  • The tangent at that point must be increasing

So, at point A, we see that the tangent is not equal to zero, so it is not a minimum point

At point B, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point C, we see that the tangent is not equal to zero but negative so it is not a minimum point

At point D, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

At point E, we see that the tangent equals zero but it is decreasing so it is not a minimum point

At point F, we see that the tangent is equal to zero and it is increasing, so it is a minimum point

at point G, we see that the tangent is not equal to zero and it is increasing, so it is not a minimum point

So, the only points that satisfy the condition for minimum point are Points D and point F

So, the relative minimum are

  • d. Point D and
  • f .Point F

Learn more about relative minimum of a polynomial function here:

https://brainly.com/question/28081132

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