Question

consider the graph of the quadratic function. which interval on the x - axis has a negative rate of change? - 2 to - 1 - 1.5 to 0 0 to 1 1 to 2.5

Explanation:

Step1: Understand rate of change

A negative rate of change for a function \(y = f(x)\) means that as \(x\) increases, \(y\) decreases.

Step2: Analyze each interval

• For the interval \(-2\) to \(-1\): As \(x\) increases from \(-2\) to \(-1\), \(y\) increases.
• For the interval \(-1.5\) to \(0\): As \(x\) increases from \(-1.5\) to \(0\), \(y\) increases.
• For the interval \(0\) to \(1\): As \(x\) increases from \(0\) to \(1\), \(y\) decreases slightly but not as consistently as in the next interval.
• For the interval \(1\) to \(2.5\): As \(x\) increases from \(1\) to \(2.5\), \(y\) decreases.

Answer:

\(1\) to \(2.5\)