Respuesta :

Answer:

Option A.

Step-by-step explanation:

In the given graph there are four intervals in which we have to find the nature of function.

1). In the interval (-∞, -0.7)

f(x) < 0

Because for every value of x, value of the function is negative.

2). In the interval (-0.7, 0.76)

f(x) > 0

For each value of x, value of the function is greater than 0.

3). In the interval (0.76, 2.5)

f(x) < 0

Because in this interval value of the function is negative.

4). Interval (2.5, ∞)

f(x) > 0

Because value of the function for every value of x, is greater than 0.

When we compile all four properties Option A. comes out to be the right option.