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.

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

Multiply $2$ by ${(2)}^{2}$ .

Raise $2$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $1$ and $2$ .

$f (2) = 2^{3} - (2) - 1$

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

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

Multiply $- 1$ by $2$ .

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

Simplify by subtracting numbers.

Subtract $2$ from $8$ .

$f (2) = 6 - 1$

Subtract $1$ from $6$ .

$f (2) = 5$

The final answer is $5$ .

$5$

Step 3