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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 happens if a birth rate does not equal death rate population?
There is a change in population.
What are the differences between negative growth rate and zero growth rate?
Negative means people are leaving. Zero means that people are coming and going in equal amounts.
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.
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 is an example of a negative rate of change?
a car braking is a negative rate of velocity change
Does a negative number times positive infinity equal negative infinity?
Yes. Multiplying a negative number by a very large positive number will equal a large negative number. If you have the function y = -x, then as x approaches infinity, y will approach negative infinity at the same rate.
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.
Does the rate of change have to be negative?
no... the sign indicates whether the rate of change is increasing or decreasing. It is only negative if the rate is decreasing over time.
What the difference between negative rate of change and positive rate of change?
A quantity with a negative rate of change becomes smaller as time goes on. A quantity with a positive rate of change becomes larger as time goes on.
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.
Which statement describes the rate of change of the following function?
Which statement describes the rate of change of the following function?f(x) = -6x - 9
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 is the rate of change of the function Y equal minus 3 divided by 4?
-1
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.
