0
For two points at (x1,y1) and (x2,y2), respectively, the rate of change is equal to the slope of the shortest possible line segment connecting the two points. This slope can be calculated by the following equation:
m = (y2-y1)/(x2-x1)
Wiki User
∙ 16y ago
Add your answer:
Earn +20 pts
What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
How do you find the constant rate of change on graph?
You measure the change in the vertical direction (rise) per unit change in the horizontal direction (run). The rate of change is constant between A and B if AB is a straight line. Take any two points, A = (xa, ya) and B = (xb, yb) then the average rate of change, between A and B = (yb- ya)/(xb- xa).
Find the rate of change between the two points (436) and (8108) and the give the unit of measure?
Because of the absence of any separators, it is not possible to tell whether the first point is (4, 36) or 43, 6). Consequently it is not possible to give a proper answer. Since these are both pure numbers, there would be no units to the rate of change.
How do you find rate of change if change is not constant?
Find the derivative
How do you determine if a rate of change is constant?
You can determine if a rate of change is constant, by taking the instantaneous rate of change at multiple points - if they are all equal to each other, it can be assumed that the rate of change is constant. Alternatively, you can differentiate the function (if there is an associated function) - if this comes to a constant i.e. a number, then the rate of change is constant.
The constant rate of change between two points on a line?
The constant rate of change between two points on a line is called slope.
What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
When the rate of change between any two points on a line is negative What is the slope of the line?
No
What is the difference between tangent and secant line?
The tangent line is the instantaneous rate of change at a point on a curve. The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points.
How do you find the constant rate of change on graph?
You measure the change in the vertical direction (rise) per unit change in the horizontal direction (run). The rate of change is constant between A and B if AB is a straight line. Take any two points, A = (xa, ya) and B = (xb, yb) then the average rate of change, between A and B = (yb- ya)/(xb- xa).
Is the rate of change between any two points on a line?
That's called the line's slope.
What is the rate of change between any 2 points on a line?
We define the rate of change between any two linear points as the slope, and designate it with the letter m. m = delta y over delta x.
What is a variable rate of change?
It is a rate of change that is not the same at all points - in time or space.
How does the slope differ from average rate of change?
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
How do you graph trigonometric functions?
You find the average rate of change of the function. That gives you the derivative on different points of the graph.
The length of a path between two points is?
Distance is the path between two points.
What is the rate of change between any two points on a line?
it is the same as the slope, which can be found either graphically (rise over run) or algebraically using the formula (y2-y1)/(x2-x1)
