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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?
Wiki User
∙ 8y ago
It is 1.2164
Wiki User
∙ 8y ago
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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?
if a function is increasing, the average change of rate between any two points must be positive.
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.
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.
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
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.
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 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.
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.
What is the formula for rate of change?
Rate of Change = Change in value/Change in time to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2 the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1 this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
Is the slope of a line the average rate of change of the linear function?
yes, aka rise over run.
What is the rate of change when y equals 1.5x?
The rate of change would be 1.5
What is the rate of change in a linear relationship?
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
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.
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.
