Question

Determine the intervals on which the function is increasing, decreasing, and constant. (5 points)

Answer 1

the one above the one you have now

Answer 2

The function is increasing in:

x< -1

and it is decreasing in:

x > -1

and nowhere constant.

Explanation:

• We know that the graph of a function is increasing if we get a line in a graph with a positive slope i.e. with the increasing values of x the y-value is also increasing.

• The function is decreasing if the graph of a function is a line with a negative slope i.e. with the increasing values of x the y-value is decreasing.

• The function is constant over a interval if the graph of the function over that interval is a straight line with zero slope ; i.e. a line which is parallel to the x-axis over the interval.