Finite Math Examples

$f (x) = x$ , $[- 4, 4]$

Step 1

Write $f (x) = x$ as an equation.

$y = x$

Step 2

Substitute using the average rate of change formula.

Tap for more steps...

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 $x$ values of the two points.

$\frac{f (4) - f (- 4)}{(4) - (- 4)}$

Step 2.2

Substitute the equation $y = x$ for $f (4)$ and $f (- 4)$ , replacing $x$ in the function with the corresponding $x$ value.

$\frac{(4) - (- 4)}{(4) - (- 4)}$

Step 3

Cancel the common factor of $(4) - (- 4)$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{(4) - (- 4)}{(4) - (- 4)}$

Step 3.2

Rewrite the expression.

$1$