Evaluate the Function f(x)=x^3-2x^2+4x+3 for x=2

$f (x) = x^{3} - 2 x^{2} + 4 x + 3$ for $x = 2$

Step 1

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

$f (2) = {(2)}^{3} - 2 {(2)}^{2} + 4 (2) + 3$

Step 2

Simplify the result.

Simplify each term.

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

$f (2) = 8 - 2 {(2)}^{2} + 4 (2) + 3$

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

$f (2) = 8 - 2 \cdot 4 + 4 (2) + 3$

Multiply $- 2$ by $4$ .

$f (2) = 8 - 8 + 4 (2) + 3$

Multiply $4$ by $2$ .

$f (2) = 8 - 8 + 8 + 3$

Simplify by adding and subtracting.

Subtract $8$ from $8$ .

$f (2) = 0 + 8 + 3$

Add $0$ and $8$ .

$f (2) = 8 + 3$

Add $8$ and $3$ .

$f (2) = 11$

The final answer is $11$ .

$11$

Step 3