Question

Suppose f is the function that satisifes for all z in its domain, f(0)=0, and f'(0)=1. Then f(x)?

Answer 1

The function f(x) that satisfies f(0) = 0 and f'(0) = 1 can be represented as f(x) = x.

Step-by-step explanation:

The function f(x) that satisfies f(0) = 0 and f'(0) = 1 can be represented as f(x) = x. Since the function is a straight line passing through the origin with a slope of 1, it means that for any value of x, the value of f(x) will be equal to x. Thus, the function is f(x) = x.