Question

given the graph identify the interval of decrease. 0 ≤ x < 3; 0 ≤ x < 6; 3 < x ≤ 6; 0 ≤ y < 3

Explanation:

Step1: Understand decreasing interval

A function decreases when as \( x \) increases, \( y \) decreases. For a parabola opening downward (like the graph), the vertex is the maximum point. After the vertex (at \( x = 3 \), assuming the vertex is at \( x = 3 \) from the graph's symmetry), the function decreases.

Step2: Analyze the graph's x - axis

The graph starts at \( x = 0 \), peaks around \( x = 3 \), and ends at \( x = 6 \). So after \( x = 3 \) (up to \( x = 6 \)), the function is decreasing. Thus the interval of decrease is \( 3 < x \leq 6 \).

Answer:

1. \( 3 < x \leq 6 \)