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What must be true about the average rate of change between any two points on the graph of an increasing function?
Wiki User
∙ 12y ago
if a function is increasing, the average change of rate between any two points must be positive.
Wiki User
∙ 12y ago
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What if the rate of change is a measure of how fast the function is increasing or decreasing what does the slope of a linear?
The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
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.
Is the slope of a line the average rate of change of the linear function?
yes, aka rise over run.
What is the average rate of change from x equals 2 to x equals 3 for the function f of x equals 3 ln x?
It is 1.2164
What are the intervals where the graph of y equals x3-3x are increasing?
6
What if the rate of change is a measure of how fast the function is increasing or decreasing what does the slope of a linear?
The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
What happens to air pressure's rate of change as altitude increases?
The rate of change of air pressure as a function of increasing altitude decreases with increasing altitude.
What is the relationship between energy and temperature change?
When heat is transferred in a space the average energy of the particles - the temperature of the substance - is affected, by increasing or decreasing. The change in temperature depends on the number of particles affected.
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 difference between differentiation and a differential equation?
Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.
When bonds between atoms are broken or formed is the outcome A a physical change B an element increasing in size C a chemical change D a change of state?
B. an element increasing in size Resources: Myself 6 years In College
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.
Why average cost increase when marginal cost is increasing?
Marginal cost = derivative of (Total cost/Quantity) Where Total cost = fixed cost + variable cost Marginal cost = derivative (Variable cost/Quantity) (by definition, fixed costs do not vary with quantity produced) Average cost = Total cost/Quantity The rate of change of average cost is equivalent to its derivative. Thus, AC' = derivative(Total cost/Quantity) => derivative (Variable cost/Quantity) = MC. So, when MC is increasing, AC' is increasing. That is, when marginal cost increases, the rate of change of average cost must increase, so average cost is always increasing when marginal cost is increasing.
What is the difference between normal and average respiratory rate?
The difference between normal and average respiratory rate is simple. Normal is healthy and cannot change and average most certainly can change.
Limited resources contribute to evolutionary change in animals by increasing?
Competition between members of the species.
What are the confirmed facts about climate change?
The confirmed facts about climate change are that the average temperatures around the world are increasing and severe weather is becoming more common. The extent and causes of the change are disputed.
What is the effect on the resultant of increasing the angle between the two forces?
The direction will change; the magnitude of the resultant force will be less.
