Precalculus Examples

$f (1) = 2 x^{3} - 3 x^{2} - 18 x + 8$

Step 1

Replace the variable $x$ with $1$ in the expression.

$f (1) = 2 {(1)}^{3} - 3 {(1)}^{2} - 18 \cdot 1 + 8$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

One to any power is one.

$f (1) = 2 \cdot 1 - 3 {(1)}^{2} - 18 \cdot 1 + 8$

Step 2.1.2

Multiply $2$ by $1$ .

$f (1) = 2 - 3 {(1)}^{2} - 18 \cdot 1 + 8$

Step 2.1.3

One to any power is one.

$f (1) = 2 - 3 \cdot 1 - 18 \cdot 1 + 8$

Step 2.1.4

Multiply $- 3$ by $1$ .

$f (1) = 2 - 3 - 18 \cdot 1 + 8$

Step 2.1.5

Multiply $- 18$ by $1$ .

$f (1) = 2 - 3 - 18 + 8$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Subtract $3$ from $2$ .

$f (1) = - 1 - 18 + 8$

Step 2.2.2

Subtract $18$ from $- 1$ .

$f (1) = - 19 + 8$

Step 2.2.3

Add $- 19$ and $8$ .

$f (1) = - 11$

Step 2.3

The final answer is $- 11$ .

$- 11$

Step 3