Question

Select all intervals in which the function P(t) is decreasing

Answer 1

we conclude that the intervals in which the function P(t) is decreasing are:

• x < 1

• 3 < x < 4

Explanation:

At x< 1, the function P(t) is decreasing

• A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x

• A function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x

From the figure, it is clear that the function seems to be increasing

from (1, 3) and then 4 to onwards.

But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).

Therefore, we conclude that the intervals in which the function P(t) is decreasing are:

• x < 1

• 3 < x < 4