0
What is the average rate of change for this function for the interval from x 1 to x 3?
Wiki User
∙ 7y agoWant this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
What is the difference between mean value theorem of integration and Mean Value Theorem of differentiation?
The mean value theorem for differentiation guarantees the existing of a number c in an interval (a,b) where a function f is continuous such that the derivative at c (the instantiuous rate of change at c) equals the average rate of change over that interval. mean value theorem of integration guarantees the existing of a number c in an interval (a,b)where a function f is continuous such that the (value of the function at c) multiplied by the length of the interval (b-a) equals the value of a the definite integral from a to b. In other words, it guarantees the existing of a rectangle (whose base is the length of the interval b-a that has exactly the same area of the region under the graph of the function f (betweeen a and b).
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.
How does one figure the rate of change?
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
What is the rate of change for the linear function y equals 2x plus 3?
The rate of change for the linear (not liner) function, y = 2x +/- 3 is 2.
What function does the slope of a line model?
rate of change
What tables represent an exponential function. Find the average rate of change for the interval from x 7 to x 8.?
what exponential function is the average rate of change for the interval from x = 7 to x = 8.
What is the approximate average rate of change over the interval 2 6?
There have to be two (or more) ordered pairs for an average rate of change to make any sense. Your question does not.
What is the rate of change for the interval 2 5?
The rate of changing the interval of 25 is 19.5. This is a math problem.
How do you find the average rate of change for a linear function?
A linear function has a constant rate of change - so the average rate of change is the same as the rate of change.Take any two points, A = (p,q) and B = (r, s) which satisfy the function. Then the rate of change is(q - s)/(p - r).If the linear equation is given:in the form y = mx + c then the rate of change is m; orin the form ax + by + c = 0 [the standard form] then the rate is -a/b.
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.
What is the difference between mean value theorem of integration and Mean Value Theorem of differentiation?
The mean value theorem for differentiation guarantees the existing of a number c in an interval (a,b) where a function f is continuous such that the derivative at c (the instantiuous rate of change at c) equals the average rate of change over that interval. mean value theorem of integration guarantees the existing of a number c in an interval (a,b)where a function f is continuous such that the (value of the function at c) multiplied by the length of the interval (b-a) equals the value of a the definite integral from a to b. In other words, it guarantees the existing of a rectangle (whose base is the length of the interval b-a that has exactly the same area of the region under the graph of the function f (betweeen a and b).
What acceleration is the rate at which what changes over time?
Acceleration is the rate of change of velocity - in symbols, a = dv/dt. Or for average acceleration over a finite time: a(average) = delta v / delta twhere delta v is the change in velocity, and delta t is the time interval.
The rate of change of any nonlinear function is constant?
No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.No. Only a linear function has a constant rate of change.
Is the slope of a line the average rate of change of the linear function?
yes, aka rise over run.
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.
You are told that the average rate of change of a particular function is always negative What can you conclude about the graph of that function and why?
It is a function whose graph starts in the top left and goes to the bottom right. There could be some intervals in which the graph moves upwards to the right. This follows from the definition of average rate of change.
What is The basic difference between instantaneous and average speed?
Instantaneous speed:- It is the rate of change of position with respect to time,at that instant. Average speed:-Average speed is defined as the total path length travelled divided by the total time interval.
