Question

Estimate the instantaneous rate of change of $f(x) = \frac{x}{x-2}$ at $x=2$. a) $\frac{\Delta f}{\Delta x} = 20000$ b) $\frac{\Delta f}{\Delta x} = 2$ c) $\frac{\Delta f}{\Delta x} = 0$ d) Impossible, the function is not continuous at $x=2$.

Name: estimate the instantaneous rate of change of fx fracxx 2 at x2 a fracdelta fdelta x 20000 b fracdelta fdelta x 2 c fracdelta fdelta x 0 d impossible the function is not continuous at x2 42729
Uploaded: 2022-05-07T04:36:07-08:00
Duration: 1 min 5 s
Channel: Linda Hand
Description: estimate the instantaneous rate of change of fx fracxx 2 at x2 a fracdelta fdelta x 20000 b fracdelta fdelta x 2 c fracdelta fdelta x 0 d impossible the function is not continuous at x2 42729

          Estimate the instantaneous rate of change of $f(x) = \frac{x}{x-2}$ at $x=2$.
a) $\frac{\Delta f}{\Delta x} = 20000$
b) $\frac{\Delta f}{\Delta x} = 2$
c) $\frac{\Delta f}{\Delta x} = 0$
d) Impossible, the function is not continuous at $x=2$.

$estimate the instantaneous rate of change of fx fracxx 2 at x2 a fracdelta fdelta x 20000 b fracdelta fdelta x 2 c fracdelta fdelta x 0 d impossible the function is not continuous at x2 42729$

Added by Ashley F.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Linda Hand

05/07/2022

Step 1

Therefore, the function is not continuous at $x=2$. Show more…

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Estimate the instantaneous rate of change of $f(x) = \frac{x}{x-2}$ at $x=2$. a) $\frac{\Delta f}{\Delta x} = 20000$ b) $\frac{\Delta f}{\Delta x} = 2$ c) $\frac{\Delta f}{\Delta x} = 0$ d) Impossible, the function is not continuous at $x=2$.