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There have to be two (or more) ordered pairs for an average rate of change to make any sense. Your question does not.

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How do you find the average rate of change over an interval?

To find the average rate of change over an interval, you can calculate the difference in the function values at the endpoints of the interval, and then divide by the difference in the input values. This gives you the slope of the secant line connecting the two points, which represents the average rate of change over that interval.


What is the average rate of change for the function over the interval from x -2 to x 2?

To find the average rate of change of a function ( f(x) ) over the interval from ( x = -2 ) to ( x = 2 ), you can use the formula: [ \text{Average Rate of Change} = \frac{f(2) - f(-2)}{2 - (-2)} ] This calculates the change in the function's values divided by the change in ( x ) over the specified interval. You would need the specific function ( f(x) ) to compute the exact average rate of change.


Can the average rate of change of a function be constant?

Yes, the average rate of change of a function can be constant over an interval. This occurs when the function is linear, meaning it has a constant slope throughout the interval. For non-linear functions, the average rate of change can vary depending on the specific points chosen within the interval. Thus, while a constant average rate of change indicates a linear relationship, non-linear functions exhibit variability in their average rates.


What is the average rate of change in f(x) over the interval 413?

To find the average rate of change of a function ( f(x) ) over the interval ([a, b]), you use the formula (\frac{f(b) - f(a)}{b - a}). In your case, since the interval is given as "413," I'm assuming you meant the interval ([4, 13]). You would need the values of ( f(4) ) and ( f(13) ) to calculate this average rate of change. Once you have those values, simply plug them into the formula to find the result.


How do linear and exponential functions change over equal intervals?

The linear function changes by an amount which is directly proportional to the size of the interval. The exponential changes by an amount which is proportional to the area underneath the curve. In the latter case, the change is approximately equal to the size of the interval multiplied by the average value of the function over the interval.


What is the average rate of change for this exponential function for the interval from x 0 to x 2?

To find the average rate of change of an exponential function ( f(x) ) over the interval from ( x = 0 ) to ( x = 2 ), you would use the formula: [ \text{Average Rate of Change} = \frac{f(2) - f(0)}{2 - 0} ] This requires evaluating the function at the endpoints of the interval. If you provide the specific exponential function, I can calculate the exact average rate of change for you.


Economics what is the arc elastic?

measure of the average responsiveness of quantity to price over an interval of the demand curve. = change in quantity/ Quantity ___________________________ change in price/ Price


How to find the average velocity over a time interval?

To find the average velocity over a time interval, you can divide the total displacement by the total time taken. This gives you the average speed at which an object has moved over that time period.


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.


Based on your answer to Part B what is the average rate of formation of HCL?

To find the average rate of formation of HCl, divide the change in concentration of HCl by the time interval over which the change occurs. This will give you the average rate at which HCl is being formed.


What is the average rate of change for this function for the interval from x 1 to x 3?

To find the average rate of change of a function ( f(x) ) over the interval from ( x_1 ) to ( x_3 ), you use the formula: [ \text{Average Rate of Change} = \frac{f(x_3) - f(x_1)}{x_3 - x_1} ] You would need the specific function and the values of ( f(x_1) ) and ( f(x_3) ) to calculate it. Once you have those values, plug them into the formula to get the average rate of change.


What is the average rate of change of f(x) represented by the graph over the interval 02?

To find the average rate of change of a function ( f(x) ) over a given interval, you use the formula ( \frac{f(b) - f(a)}{b - a} ), where ( a ) and ( b ) are the endpoints of the interval. In the case of the interval ( [0, 2] ), you would evaluate ( f(2) ) and ( f(0) ), then substitute these values into the formula. The average rate of change represents the slope of the secant line connecting the two points on the graph of ( f(x) ) at ( x = 0 ) and ( x = 2 ). To provide a specific answer, the values of ( f(0) ) and ( f(2) ) need to be known from the graph.