Evaluate Using the Given Value f(1/2)=2(1/2)-16(1/2)+9

$f (\frac{1}{2}) = 2 (\frac{1}{2}) - 16 (\frac{1}{2}) + 9$

Step 1

Simplify each term.

Cancel the common factor of $2$ .

Cancel the common factor.

$f (\frac{1}{2}) = 2 (\frac{1}{2}) - 16 (\frac{1}{2}) + 9$

Rewrite the expression.

$f (\frac{1}{2}) = 1 - 16 (\frac{1}{2}) + 9$

Cancel the common factor of $2$ .

Factor $2$ out of $- 16$ .

$f (\frac{1}{2}) = 1 + 2 (- 8) (\frac{1}{2}) + 9$

Cancel the common factor.

$f (\frac{1}{2}) = 1 + 2 \cdot (- 8 (\frac{1}{2})) + 9$

Rewrite the expression.

$f (\frac{1}{2}) = 1 - 8 + 9$

Step 2

Simplify by adding and subtracting.

Subtract $8$ from $1$ .

$f (\frac{1}{2}) = - 7 + 9$

Add $- 7$ and $9$ .

$f (\frac{1}{2}) = 2$