Average rate of change review (article) | Khan Academy
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 …
Finding average rate of change of polynomials - Khan Academy
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 …
Introduction to average rate of change (video) | Khan Academy
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 …
Secant lines & average rate of change (video) | Khan Academy
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, …
Graphing proportional relationships: unit rate - Khan Academy
In proportional relationships, the unit rate is the slope of the line. Changes in x lead to steady changes in y when there's a proportional relationship. We can use the unit rate to write and graph an equation of …
Tangent lines and rates of change (article) | Khan Academy
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: graphs & tables - Khan Academy
Find a function's average rate of change over a specific interval, given the function's graph or a table of values.
Worked example: average rate of change from graph - Khan Academy
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 …
Initial value & common ratio of exponential functions
The common ratio refers to the rate of change in an exponential function. It is the factor by which the output of the function changes when the input increases by one unit.
Exploring accumulation of change (article) | Khan Academy
In differential calculus, we learned that the derivative f ′ of a function f gives the instantaneous rate of change of f for a given input. Now we're going the other way!