Average Rate of Change Over an Interval
Key Questions

Answer:
Yes.
Explanation:
Remember that the rate of change could be things like acceleration, not just speed.
Even though speed itself is a scalar and cannot be negative, you can have a negative velocity by adding direction (which makes it a vector)
Also, if your speed is decreasing, you decelerate, which is another word for negative acceleration.
For example, let's say you had the function
#sin(x)# to show the speed in respect to time.graph{sinx [10, 10, 5, 5]}
We can see that your speed increases until it reaches a certain point. There, we see that it decreases to a certain point. The decrease represents negative rate of change. (Deceleration in this case.)
Questions
Derivatives

Tangent Line to a Curve

Normal Line to a Tangent

Slope of a Curve at a Point

Average Velocity

Instantaneous Velocity

Limit Definition of Derivative

First Principles Example 1: x²

First Principles Example 2: x³

First Principles Example 3: square root of x

Standard Notation and Terminology

Differentiable vs. Nondifferentiable Functions

Rate of Change of a Function

Average Rate of Change Over an Interval

Instantaneous Rate of Change at a Point