Question

score on last try: 0 of 1 pts. see details for more. > next question get a similar question you can retry this question below estimate the instantaneous rate of change at $x = 3$

Explanation:

Step1: Recall the concept of instantaneous rate of change

The instantaneous rate of change of a function at a point is the slope of the tangent line to the function at that point.

Step2: Estimate the slope of the tangent line at \(x = 3\)

We can estimate the slope using two - points close to \(x=3\) on the tangent line. Let's take two points \((2,6)\) and \((3,10)\) (estimated from the graph). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
\[m=\frac{10 - 6}{3 - 2}=\frac{4}{1}=4\]

Answer:

4