Question

Consider the equation below.(If answer does not exist, enter DNE.)

a) Find the interval on which f is increasing.
Find the interval on which f is decreasing.
b) Find the local minimum and maximum values of f.
c) Find the inflection point.
Find the interval on which f is concave up.
Find the interval on which f is concave down.

Answer 1

The given function is a horizontal line, so it does not have any increasing or decreasing intervals, local minimum or maximum values, or inflection points.

Step-by-step explanation:

For the given function f(x), which is a horizontal line, the interval on which f is increasing is [0, 20]. This is because the function has a non-zero y-intercept and remains constant throughout the interval.

The interval on which f is decreasing does not exist, as the function is not decreasing at any point.

Since the function is a horizontal line, it has no local minimum or maximum values.

As the function is a horizontal line, it does not have any inflection points. Therefore, the intervals on which f is concave up and concave down do not exist.