Evaluate the Function f(-2)=2x^2-x-1

$f (- 2) = 2 x^{2} - x - 1$

Step 1

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

$f (- 2) = 2 {(- 2)}^{2} - (- 2) - 1$

Step 2

Simplify the result.

Simplify each term.

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

$f (- 2) = 2 \cdot 4 - (- 2) - 1$

Multiply $2$ by $4$ .

$f (- 2) = 8 - (- 2) - 1$

Multiply $- 1$ by $- 2$ .

$f (- 2) = 8 + 2 - 1$

Simplify by adding and subtracting.

Add $8$ and $2$ .

$f (- 2) = 10 - 1$

Subtract $1$ from $10$ .

$f (- 2) = 9$

The final answer is $9$ .

$9$

Step 3