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Calculus Examples

f (x) = 3 x^{2} - 3

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

(0, 4)

$(0, 4)$

Step 1

Evaluate

f (x) = 3 x^{2} - 3

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

x = 0

$x = 0$ .

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Step 1.1

Replace the variable

x

$x$ with

0

$0$ in the expression.

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

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

Step 1.2

Simplify the result.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Raising

0

$0$ to any positive power yields

0

$0$ .

f (0) = 3 \cdot 0 - 3

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

Step 1.2.1.2

Multiply

3

$3$ by

0

$0$ .

f (0) = 0 - 3

$f (0) = 0 - 3$

f (0) = 0 - 3

$f (0) = 0 - 3$

Step 1.2.2

Subtract

3

$3$ from

0

$0$ .

f (0) = - 3

$f (0) = - 3$

Step 1.2.3

The final answer is

- 3

$- 3$ .

- 3

$- 3$

- 3

$- 3$

- 3

$- 3$

Step 2

Since

- 3

$- 3$

\neq

$\neq$

4

$4$ , the point is not on the graph.

The point is not on the graph

Step 3

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$