Calculus Examples

$x + 2 x - 2$ , $(2, 7)$

Step 1

Write $x + 2 x - 2$ as a function.

$f (x) = x + 2 x - 2$

Step 2

Check if the given point is on the graph of the given function.

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Step 2.1

Evaluate $f (x) = x + 2 x - 2$ at $x = 2$ .

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Step 2.1.1

Replace the variable $x$ with $2$ in the expression.

$f (2) = (2) + 2 (2) - 2$

Step 2.1.2

Simplify the result.

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Step 2.1.2.1

Multiply $2$ by $2$ .

$f (2) = 2 + 4 - 2$

Step 2.1.2.2

Add $2$ and $4$ .

$f (2) = 6 - 2$

Step 2.1.2.3

Subtract $2$ from $6$ .

$f (2) = 4$

Step 2.1.2.4

The final answer is $4$ .

$4$

Step 2.2

Since $4$ $\neq$ $7$ , the point is not on the graph.

The point is not on the graph

Step 3