Question

The arc length function for a curve y = f(x), where f is an increasing function, is s(x) =

Answer 1

The arc length function for a curve y = f(x) increases as x increases if f(x) is an increasing function.

Step-by-step explanation:

The arc length function for a curve y = f(x) can be defined as the length of the curve from one point to another on the curve. It can be calculated using integration. If f(x) is an increasing function, it means that as x increases, y also increases. This implies that the curve is moving upwards as x increases. In this case, the arc length will increase as x increases.