Question

Over which interval is the function decreasing?Over which interval is the function constant?Over which interval is the function increasing?Answer Question 33, 34 and 35

Answer 1

33. [-2, 8]

34.

`[8,\infty)`

35.

`(-\infty,-2]`

Step-by-step explanation:

Given:

Let's go ahead and graph the given functions as seen below;

See below the graph of f(x) = 2x - 5 if x < -2

The graph of x = -4x + 3 if -2 <= x < 8;

The graph of f(x) = 9 if x >= 8;

33) We can see from the second graph that the graph is decreasing, so we can see that the graph is increasing over the interval [-2, 8]

34) From the third graph, we can see that the graph is constant, so we can see that the graph is constant over the interval [8, infinity);

`[8,\infty)`

35) From the first graph, we can see that the graph is increasing. So we can say that the graph is increasing over the interval;

`(-\infty,-2]`