Finite Math Examples

$y = 6 x^{3}$ , $(1, 6)$ , $(0, 0)$

Substitute using the average rate of change formula.

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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.

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

Substitute the equation $y = 6 x^{3}$ for $f (1)$ and $f (0)$ , replacing $x$ in the function with the corresponding $x$ value.

$\frac{(6 {(1)}^{3}) - (6 {(0)}^{3})}{(1) - (0)}$

Simplify the expression.

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Simplify the numerator.

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One to any power is one.

$\frac{6 \cdot 1 - (6 {(0)}^{3})}{(1) - (0)}$

Multiply $6$ by $1$ .

$\frac{6 - (6 {(0)}^{3})}{(1) - (0)}$

Raising $0$ to any positive power yields $0$ .

$\frac{6 - (6 \cdot 0)}{(1) - (0)}$

Multiply $6$ by $0$ .

$\frac{6 - 0}{(1) - (0)}$

Multiply $- 1$ by $0$ .

$\frac{6 + 0}{(1) - (0)}$

Add $6$ and $0$ .

$\frac{6}{(1) - (0)}$

Simplify the denominator.

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Multiply $- 1$ by $0$ .

$\frac{6}{1 + 0}$

Add $1$ and $0$ .

$\frac{6}{1}$

Divide $6$ by $1$ .

$6$

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