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`

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.


Add -14 to both sides. 







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