Evaluate the Function f(-5)=x^3+3x^2-9x-13

$f (- 5) = x^{3} + 3 x^{2} - 9 x - 13$

Step 1

Replace the variable $x$ with $- 5$ in the expression.

$f (- 5) = {(- 5)}^{3} + 3 {(- 5)}^{2} - 9 \cdot - 5 - 13$

Step 2

Simplify the result.

Simplify each term.

Raise $- 5$ to the power of $3$ .

$f (- 5) = - 125 + 3 {(- 5)}^{2} - 9 \cdot - 5 - 13$

Raise $- 5$ to the power of $2$ .

$f (- 5) = - 125 + 3 \cdot 25 - 9 \cdot - 5 - 13$

Multiply $3$ by $25$ .

$f (- 5) = - 125 + 75 - 9 \cdot - 5 - 13$

Multiply $- 9$ by $- 5$ .

$f (- 5) = - 125 + 75 + 45 - 13$

Simplify by adding and subtracting.

Add $- 125$ and $75$ .

$f (- 5) = - 50 + 45 - 13$

Add $- 50$ and $45$ .

$f (- 5) = - 5 - 13$

Subtract $13$ from $- 5$ .

$f (- 5) = - 18$

The final answer is $- 18$ .

$- 18$

Step 3