consider the graph of the quadratic function. which interval on the x - axis has a negative rate of change…

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

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

Answer

Explanation:

Step1: Understand rate of change concept

The rate of change of a function on an interval ([a,b]) is (\frac{f(b)-f(a)}{b - a}). A negative rate of change means (f(b)<f(a)) when (b > a), i.e., the function is decreasing on the interval.

Step2: Analyze the graph

For a quadratic - function graph, we look for the part where the (y) - values are decreasing as (x) increases. Looking at the given graph, the function is decreasing when (x) moves from (0) to (2.5).

Answer:

D. 1 to 2.5