How can the average rate of change be found using a discrete graph?

1 answer:

5 0

In general, the average rate of change of f (x) on the interval a, b is given by f(b) – f(a) / b – a. The average rate of alteration of a function, f (x) on an interval is well-defined to be the variance of the function values at the endpoints of the interim divided by the difference in the x values at the endpoints of the interval. this is also known as the difference quotient that tells how on average, the y values of a function are changing in connection to variations in the x values. A positive or negative rate of change is applicable which match up to an increase or decrease in the y value among the two data points. It is called zero rate of change when a quantity does not change over time.

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The differential equation is dy/dx = (y - 3)/ (x-3). Select the following options that are true.

SCORPION-xisa [38]

Horizontal tangents are such that dy/dx = 0; this happens when

(y - 3) / (x - 3) = 0 → y - 3 = 0 → y = 3

so (I) is true.

Vertical tangents are such that their slope is undefined; this happens when the denominator vanishes, or

x - 3 = 0 → x = 3

so you are right that (II) is not true.

To assess whether (III) is correct, consider what happens at different nearby points (with neither x = 3 nor y = 3) where the y coordinate is kept the same so that the tangent lines occur in the same row. For example,

x = 0, y = 0 → dy/dx = (-3)/(-3) = 1

x = 1, y = 0 → dy/dx = (1 - 3)/(-3) = 2/3

x = 2, y = 0 → dy/dx = (2 - 3)/(-3) = 1/3

The slopes are not the same - they have to be if these tangents are supposed to be parallel - so (III) is not true.

This makes A. (I) only the correct choice.

6 0

3 years ago

Are glazed tile on a floor at a constant rate he covers 150 square foot floor in 3 hours how many square feet does he cover in 4

Ivan

200. because 50 = one hour. 100= 2 hours and so on.

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3 years ago