Question

5.4 analyze graphs of functions
question 1 of 16 (1 point) | question attempt: 1 of 3

points | behavior of the function
a and b | ∘ increasing
| ∘ constant
| ∘ decreasing
b and c | ∘ increasing
| ∘ constant
| ∘ decreasing
c and d | ∘ increasing
| ∘ constant
| ∘ decreasing
d and e | ∘ increasing
| ∘ constant
| ∘ decreasing

Explanation:

Step1: Recall Function Behavior Rules

A function is increasing if as \( x \) increases, \( y \) increases; constant if \( y \) doesn't change with \( x \); decreasing if \( y \) decreases as \( x \) increases.

Step2: Analyze D and E Segment

For segment D and E (from D to E), the graph (as seen with point E) shows that as \( x \) moves towards E (assuming \( x \) increases from D to E), the \( y \)-value is decreasing (since the line is going downwards). So the behavior is decreasing.

Answer:

decreasing (select the "decreasing" option for D and E in the table)