Does the function y = StartFraction negative 1 Over x squared EndFraction shown in the graph below have a maximum y-value or a minimum y- value? On a coordinate plane, 2 curves are on the graph. A curve approaches the x-axis in quadrant 2 and increases through (negative 2, 0.25) and (negative 1, 1). A curve approaches the x-axis in quadrant 1 and increases through (2, 0.25) and (1, 1). a. Cannot be determined c. No b. Yes, maximum value is 5 and minimum value is 0 d. Yes, maximum value is 100 and minimum value is -100

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02-09-2022
Mathematics

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Does the function y = StartFraction negative 1 Over x squared EndFraction shown in the graph below have a maximum y-value or a minimum y- value? On a coordinate plane, 2 curves are on the graph. A curve approaches the x-axis in quadrant 2 and increases through (negative 2, 0.25) and (negative 1, 1). A curve approaches the x-axis in quadrant 1 and increases through (2, 0.25) and (1, 1). a. Cannot be determined c. No b. Yes, maximum value is 5 and minimum value is 0 d. Yes, maximum value is 100 and minimum value is -100

Sagot :

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facundo3141592 facundo3141592 · Answer 1 · 2022-09-06T14:07:37-04:00

The correct option is C, No, there are no maximum or minimums.

Does the function have a maximum or minimum value?

Here we have the function:

y = -1/x^2

How to know if the function has a minimum or maximum?

Remember that for a function f(x), a maximum is the function evaluated in a given value c such that:

f(c) ≥ f(x) for every x in the domain.

And the minimum is defined in a similar way.

In this case the function is a rational function, and the graph can be seen in the image below:

There you can see that the function tends asymptotically to 0, which is our maximum. So the function is never zero, then it is not a maximum, and clearly we don't have a minimum, as the function tends to negative infinity.

If you want to learn more about maximums and minimums:

https://brainly.com/question/12446886

#SPJ1

Sagot :

Does the function have a maximum or minimum value?

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