3. Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value. Find that value and explain how you know.
Show your work..

  has a maximum

              the maximum is  11

Step-by-step explanation:

f(x)= -5x^2-10x+6

the function f(x)= ax^2+bx+c=0  has a<0  so the equation has a maximum

I know V has the coordonate x=-b/2a,  and y=-(b^2-4ac)/4a

b^2-4*a*c= (-10)^2-4*(-5)*6=100+120=220

so -b/2a=-(-10)/-2*5=+10/-10=-1 and

    -(b^2-4ac)/4a=-220/4*(-5)=-220/-20=22/2=11

so  V( -1, 11)

and  the maximum is  11

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.