Question

1.3 solving piecewise functions cw due: february 4 at 8:00 am grade: 25% increasing vs. positive graphically increasing vs. decreasing linear piecewise evaluate piecewise functions scientific calculator graphing calculator messing tewaboh-kodush log out answer attempt 2 out of 3 the function is decreasing on the interval -7,6 < x < -2,0 (segment 1), decreasing on the interval -2,0 < x < -2,3 (segment 2), and increasing on the interval -2,3 < x < 5,9 (segment 3).

Explanation:

Step1: Analyze Segment 1

Identify the interval of segment 1 (leftmost line): as \(x\) increases from \(-7\) to \(-2\), \(y\) increases. So this segment is increasing on \(-7 < x < -2\).

Step2: Analyze Segment 2

Identify the interval of segment 2 (middle line): as \(x\) increases from \(-2\) to \(3\), \(y\) decreases. So this segment is decreasing on \(-2 < x < 3\).

Step3: Analyze Segment 3

Identify the interval of segment 3 (rightmost line): as \(x\) increases from \(3\) to \(9\), \(y\) increases. So this segment is increasing on \(3 < x < 9\).

Step4: Match to the prompt

The prompt asks to fill where the function is decreasing or increasing. Correct the given intervals to match the graph's behavior.

Answer:

The function is increasing on the interval \(-7 < x < -2\) (segment 1), decreasing on the interval \(-2 < x < 3\) (segment 2), and increasing on the interval \(3 < x < 9\) (segment 3).