Question

Which of the following describe the given graph of the function over the interval [2,6]

•increasing
•constant
•decreasing
•decreasing to increasing

Answer 1

I think it would be D because it started off low then it started to increase

Answer 2

Increasing

Explanation:

We know that, a function can be increasing, decreasing, constant or a mix of these three i.e. a function is:

1. Increasing: if for x < y, f(x) < f(y).

2. Decreasing: If for x < y, f(x) > f(y).

3. Constant: If for any two numbers say x and y, f(x) = f(y).

As we can see from the graph, between [2,6], the value of function at 2 is less than the value of function at 6.

i.e. As 2 < 6, f(2) < f(6).

Which satisfies the definition of an increasing function.

Hence, the graph of the function over [2,6] is increasing.