Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
The minimum value of the product is -8.
What is the minimum value?
The minimum value is the y value of the lowest point on the graph.
The function y = 2x-8 and we have to find the minimum value of the XY.
Plugging the value of y in the product;
[tex]\rm f(x)=x(2x-8)\\\\f(x)=2x^2-8x[/tex]
f(x) represents an upward parabola and we know that for an upward parabola, the minimum point is the vertex.
So in order to find the minimum value, we find the y coordinate of the vertex of the parabola.
The x-coordinate of the parabola is given by;
[tex]\rm = \dfrac{-b}{2a}\\\\=\dfrac{-8}{2\times 2}\\\\ =\dfrac{-8}{4}\\\\=-2[/tex]
The y -coordinate of the parabola is;
[tex]\rm f(x)=2x^2-8x\\\\f(2)=2(2)^2-8(2)\\\\f(2)=2\times 4-16\\\\ f(2)=8-16\\\\ f(2)=-8[/tex]
The vertex is (2,-8)
Hence, the minimum value of the product is -8.
Learn more about minimum value here;
https://brainly.com/question/3476532
#SPJ4
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
