roro28
roro28 roro28
  • 24-12-2016
  • Mathematics
contestada

Given g(x)=x^2-7x+1/4 show that the least possible value of g(x) is -12

Respuesta :

bcalle
bcalle bcalle
  • 24-12-2016
The least vale of the function would be the vertex. To find the vertex first find the x value by using x= -b/2a
x=7/2 or 3.5
Now plug this in for x to find the y value.
y = (7/2)^2 -7(7/2) + (1/4)
y = (49/4) -(49/2) + (1/4)
y = (49/4) -(98/4) + (1/4)
y = (-48/4)
y = -12
The vertex is (3.5,-12)
The minimum (or max) of a function is the y value of the vertex so the min value is -12
Answer Link

Otras preguntas

What provides the force on the person in the passenger seat?
What property does fractional distillation rely on?
The most common crop grown in the southern part of China was ________________. a. wheat c. rye b. rice d. corn
Gerundio del verbo comer más la partícula -sé al final
Main ingredient of all cells
Brandon has 7 1/2 gallons of paint he plans on painting 1 1/2 gallons on each room how many rooms will he be able to paint
Which country is credited with originating the Industrial Revolution?
which of these elements has physical and chemical properties most similar to silicon (Si)?
How does illiteracy show the development of a country
Is the placement of the adjective clause in the sentence correct or incorrect? This year's fireworks show must have been expensive, which is an annual holiday