Question

use the graph to determine the behavior of the function between the indicate
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: Analyze A to B

Check the y - values as x increases from A to B. Point A is at (-5, 0), point B is at (-2, 3). As x increases (from -5 to -2), y increases (from 0 to 3). So the function is increasing between A and B.

Step2: Analyze B to C

Point B is at (-2, 3), point C is at (2, 3). As x increases (from -2 to 2), y remains 3. So the function is constant between B and C.

Step3: Analyze C to D

Point C is at (2, 3), point D is at (3, -1). As x increases (from 2 to 3), y decreases (from 3 to -1). So the function is decreasing between C and D.

Step4: Analyze D to E

Point D is at (3, -1), point E is at (4, 1). As x increases (from 3 to 4), y increases (from -1 to 1). So the function is increasing between D and E.

Answer:

• A and B: increasing
• B and C: constant
• C and D: decreasing
• D and E: increasing