Calculus Examples

$f (x) = 3 x^{2} - 3$ , $(0, 4)$

Evaluate $f (x) = 3 x^{2} - 3$ at $x = 0$ .

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Replace the variable $x$ with $0$ in the expression.

$f (0) = 3 {(0)}^{2} - 3$

Simplify the result.

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Simplify each term.

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Remove parentheses around $0$ .

$f (0) = 3 \cdot 0^{2} - 3$

Raising $0$ to any positive power yields $0$ .

$f (0) = 3 \cdot 0 - 3$

Multiply $3$ by $0$ .

$f (0) = 0 - 3$

Subtract $3$ from $0$ .

$f (0) = - 3$

The final answer is $- 3$ .

$- 3$

Since $- 3$ $\neq$ $4$ , the point is not on the graph.

The point is not on the graph

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