Question

q show what you know! if a graph slopes downward from left to right, what does that tell us about the function and its rate of change? the function has no slope, so the rate of change is zero the function is increasing, and the rate of change is positive the function is decreasing, and the rate of change is negative the function is constant, and the rate of change is zero

Explanation:

Step1: Recall the relationship between slope and rate of change

The slope of a graph represents the rate of change of the function.

Step2: Analyze the meaning of a downward - sloping graph

When a graph slopes downward from left to right, by the formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\) (where \(x_2>x_1\) and \(y_2 < y_1\)), the slope \(m<0\).

Answer:

If a graph slopes downward from left to right, the function is decreasing and the rate of change is negative.