Precalculus Examples

Given $f (x) = - 2 x^{3} + x^{2} - 2$ find $f (1)$

Step 1

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

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

Step 2

Simplify $- 2 {(1)}^{3} + {(1)}^{2} - 2$ .

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Step 2.1

Remove parentheses.

$- 2 {(1)}^{3} + {(1)}^{2} - 2$

Step 2.2

Simplify each term.

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Step 2.2.1

One to any power is one.

$- 2 \cdot 1 + {(1)}^{2} - 2$

Step 2.2.2

Multiply $- 2$ by $1$ .

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

Step 2.2.3

One to any power is one.

$- 2 + 1 - 2$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add $- 2$ and $1$ .

$- 1 - 2$

Step 2.3.2

Subtract $2$ from $- 1$ .

$- 3$