Question

Which statement is true regarding the intervals where the function is increasing and decreasing?

Answer 1

Answer:

The function is increasing form ($0,-\infty$)

Step-by-step explanation:

Increasing function: A function is said to be increasing function

when $x_1$

Then,$f(x_1)$

Decreasing function: A function is said to be decreasing function

When $x_1< x_2$

Then, $f(x_1)>f(x_2)$

We can see that from given graph

when x goes from 0 to -infinity then

y goes from 4 to - infinity

Hence, the function is increasing on interval ($0,-\infty$)

When x goes from 0 to infinity

Then , y goes from 4 to -infinity.

Hence, the function is decreasing on interval ($0,\infty$).

Answer 2

Answer:

The statement which is true regarding the intervals where the function is increasing and decreasing is:

The function is increasing in the interval (-∞,0)

Step-by-step explanation:

As we can clearly see from the graph that function is increasing in the interval (-∞,0) and decreasing in the interval (0,∞)

Hence, the statement which is true regarding the intervals where the function is increasing and decreasing is:

The function is increasing in the interval (-∞,0)