# Determine if the function has a maximum or a minimum value. Then find that max or min value of the function. `f(x) = x^2 - 8x + 2`

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Student Comments

taangerine | Student

One method that can help you determine if there is a maximum or minimum is if you graph the equation.

After graphing, we can see that it is a parabola. Since the parabola is concave up, we know that there will be a **minimum.**

In order to find the min value of the graph, locate the lowest point on the graph.

The lowest point is when f(x)=-14. In order to find x, we have to plug f(x) back into the equation and solve to find x.

-14=`x^(2)-8x+2`

Add -14 to both sides.

0=`x^(2)-8x+16`

Factor.

0=`(x-4)^2`

Solve.

x-4=0

x=4

Therefore, the min value of the function is **(4, -14)**