4, 5 determine the intervals on which the function is increasing, decreasing, and constant. 50 points

Hello!

Question 4:

When the function is increasing the graph is going up, but when the function is decreasing it goes down. The graph's vertex, or local maximum, is at the point (0, 1). That point shows us if the graph is going up or going down.

Looking the given graph, the graph is decreasing as it goes to the right, which is the positive side of the graph. The graph increases as it goes to the right, which is the negative side of the graph.

Therefore, the answer is choice D, increasing on x < 0; Decreasing on x > 0.

Question 5:

This question is asking for the local maximum and minimum, but not the global minimum and maximum values, so the answer is not choice C.

Ordered pairs are written as (x, y), and on the given graph, the local maximum value for the x-value is at x = 1, and local y-value is about y = 3.66. The local minimum for the x-value is at 4, and the y-value is about -2.55.

Therefore, the answer is choice D, Local maximum: approx. (1, 3.66); local minimum: approx. (4, -2.55).