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Sagot :
Do youSOLUTION
Step 1 :
We are meant to find the extreme values of the function f,
[tex]\text{set f}^1\text{ ( x ) = 0 and solve.}[/tex]This will give us the x - coordinates of the extreme values / local maximum and minimum.
Step 2 :
Considering the function,
[tex]f(x)=x^2\text{ - 7 x - 6 .}[/tex]We need to find the minimum value of f ( we know it is minimum because the parabola opens upwards) , we set :
[tex]\begin{gathered} f^1\text{ ( x ) = 2x - 7 = 0 } \\ \text{Solving, we get 2 x = 7} \\ \text{x = }\frac{7}{2}\text{ = 3. 5 is the location of the minimum.} \end{gathered}[/tex]Step 3 :
To get the y - cordinate , we need to find f ( 3. 5 ) :
[tex]\begin{gathered} f(3.5)=(3.5)^2\text{ - 7 ( 3 . 5 ) - 6 } \\ =\text{ 12.25 - 24. 5 - 6} \\ =\text{ -18. 25} \end{gathered}[/tex]Therefore, the extreme minimum of f occurs at the point ( 3. 5 , - 18. 25 )
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