It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph. Want to …

Learn how to calculate the **rate of change** (also called the **slope**) of a linear function three ways — in a table, on a graph, and as an equation.

Find a function's average rate of change over a specific interval, given the function's graph or a table of values.

On a position-time graph, the slope at any particular point is the velocity at that point. This is because velocity is the rate of change of position, or change in position over time. Here, the average velocity …

In this section, we will study the rate of change of a quantity and how is it related geometrically to secant and tangent lines.

Average rate of change is the same as the slope between 2 points. Find the ordered pairs for the start point (x1,y1) and end point (x2,y2) of the interval. Then, use the slope formula to calculate the …

Learn how to calculate the average rate of change of a function over a specific interval. Discover how changes in the function's value relate to changes in x. Use tables and visuals to understand the …

Learn how to calculate the average rate of change for a function and its connection to the slope of a secant line. Grasp the concept of instantaneous rate of change and its significance in calculus, …

The slope of a line is its rate of change ... It tells you how fast the line is rising or falling. Sal calculates the rate of change (the slope) using 2 points.

Does differentiability at a point matter when determining concavity? For example, if the question asks what interval is the graph of f concave up but the point is not differentiable (it is the junction of a …