Finite Math Examples

$f (x) = \frac{1}{s}$ , $(0, 1)$

Step 1

Write $f (x) = \frac{1}{s}$ as an equation.

$y = \frac{1}{s}$

Step 2

Substitute using the average rate of change formula.

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Step 2.1

The average rate of change of a function can be found by calculating the change in $y$ values of the two points divided by the change in $s$ values of the two points.

$\frac{f (1) - f (0)}{(1) - (0)}$

Step 2.2

Substitute the equation $y = \frac{1}{s}$ for $f (1)$ and $f (0)$ , replacing $s$ in the function with the corresponding $s$ value.

$\frac{(\frac{1}{1}) - (\frac{1}{0})}{(1) - (0)}$

Step 3

The expression contains a division by $0$ . The expression is undefined.

Undefined