Finite Math Examples

f (x) = x

$f (x) = x$ ,

[- 4, 4]

$[- 4, 4]$

Step 1

Write

f (x) = x

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

y = x

$y = x$

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

$y$ values of the two points divided by the change in

x

$x$ values of the two points.

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

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

Step 2.2

Substitute the equation

y = x

$y = x$ for

f (4)

$f (4)$ and

f (- 4)

$f (- 4)$ , replacing

x

$x$ in the function with the corresponding

x

$x$ value.

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

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

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

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

Step 3

Cancel the common factor of

(4) - (- 4)

$(4) - (- 4)$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

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

Step 3.2

Rewrite the expression.

1

$1$

1

$1$

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

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

(

)

[

]

√



≥

















≤































