The graph of the function f(x) = (x + 2)(x + 6) is shown below.
Which statement about the function is true?
The function is positive for all real values of x
where
x>-4.
The function is negative for all real values of x
where
-6 The function is positive for all real values of x
where
x <-6 or x>-3.
The function is negative for all real values of x
where
x < -2.
2.
6
12
-2
х
-4
6
Mark this and return
Save and Exit
Next
Submit

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

just get this app called photo math it should be able to do those