Evaluate the Function f(x)=-x^3+6x-7 at x=2

$f (x) = - x^{3} + 6 x - 7$ at $x = 2$

Step 1

Replace the variable $x$ with $2$ in the expression.

$f (2) = - {(2)}^{3} + 6 (2) - 7$

Step 2

Simplify the result.

Simplify each term.

Raise $2$ to the power of $3$ .

$f (2) = - 1 \cdot 8 + 6 (2) - 7$

Multiply $- 1$ by $8$ .

$f (2) = - 8 + 6 (2) - 7$

Multiply $6$ by $2$ .

$f (2) = - 8 + 12 - 7$

Simplify by adding and subtracting.

Add $- 8$ and $12$ .

$f (2) = 4 - 7$

Subtract $7$ from $4$ .

$f (2) = - 3$

The final answer is $- 3$ .

$- 3$

Step 3