Calculus Examples

$f (x) = {(x - 1)}^{2}$ , $(- 5, 3)$

Step 1

Evaluate $f (x) = {(x - 1)}^{2}$ at $x = - 5$ .

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Step 1.1

Replace the variable $x$ with $- 5$ in the expression.

$f (- 5) = {((- 5) - 1)}^{2}$

Step 1.2

Simplify the result.

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Step 1.2.1

Subtract $1$ from $- 5$ .

$f (- 5) = {(- 6)}^{2}$

Step 1.2.2

Raise $- 6$ to the power of $2$ .

$f (- 5) = 36$

Step 1.2.3

The final answer is $36$ .

$36$

Step 2

Since $36$ $\neq$ $3$ , the point is not on the graph.

The point is not on the graph

Step 3