Question

How can you find a difference quotient from a graph?

a) Calculate the slope between two points on the graph.
b) Compute the area under the curve.
c) Determine the rate of change at a specific point.
d) Evaluate the function's integral.

Answer 1

To find the difference quotient from a graph, calculate the slope between two points on the graph using the rise over run formula.

Step-by-step explanation:

The difference quotient measures how a function changes over a small interval. To find the difference quotient from a graph, you can calculate the slope between two points on the graph. Here's how:

1. Choose two points on the graph that are close together.
2. Calculate the slope of the line passing through these two points using the slope formula: rise over run.
3. The resulting slope is the difference quotient.