Mathematics, 30.07.2019 17:00 leethiel1

Must a function that is decreasing over a given interval always be negative over that same interval? explain

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Hello,

No, a function that is decreasing over a given interval doesn't always have to be negative over that same interval.

The function can be positive over the whole interval if it is positive at the right hand end.

Faith xoxo

Answer from: Juniper816

It is not must for a function to be negative on the same interval, if it is decreasing on a given interval.

Step-by-step explanation:

Please find the attachment.

We are asked to determine is it must for a function that that is decreasing over a given interval always be negative over that same interval.

We know that a function is known as decreasing over an interval, when the value of function is decreasing as x increases.

The value of function is negative, when function is below x-axis.

It is not necessary that a function must be negative if it is decreasing on a given interval. For example function f(x)=4-x^2 . We can see that our function is decreasing on $[0,\infty]$ , but is positive on interval [0,2] .

Therefore, it is not must for a function to be negative on the same interval, if it is decreasing on a given interval.

Must a function that is decreasing over a given interval always be negative over that same interval?

Answer from: Quest

The answer would be c

Answer from: Quest

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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