Answer:
Option A.
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.