Question

Asked Feb 5, 2020

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Let *f* be defined as follows.

y = f(x) = x^{2} − 11x

(a)

Find the average rate of change of *y* with respect to *x* in the following intervals.

from *x* = 6 to *x* = 7 from *x* = 6 to *x* = 6.5 from *x* = 6 to *x* = 6.1

(b)

Find the (instantaneous) rate of change of *y* at *x* = 6.

Step 1

The given function is,

Step 2

The average rate of change is computed by dividing the change in the function by the change in the *x* value as shown in the following formula.

Step 3

- i) The average rate of change of the function when
*x*value is ...

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