Question

Determine the domain on which of the following function is increasing

Answer 1

Given:

The graph of a function.

To find:

The domain on which of the following function is increasing.

Solution:

Domain is the set of x-values or input values.

From the given graph it is clear that the vertex of the given function is at (4,75).

Before the point (4,75) the graph is increasing and after the point (4,75) the graph is decreasing.

The function is defined for $0\leq x\leq 9$.

Since the graph is increasing when $0\leq x\leq 4$, therefore the function is increasing over the interval [0,4].

Therefore, the domain on which of the following function is increasing is [0,4].