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 wherex > –4.The function is negative for all real values of x where–6 < x < –2.The function is positive for all real values of x wherex < –6 or x > –3.The function is negative for all real values of x wherex < –2.
Accepted Solution
A:
Answer:Step-by-step explanation: f(x) = (x + 2)(x +6)1) The function is positive for all real values of x where x > –4 :COUNTER-EXAMPLE : x = - 3 you have -3>-4 but (-3+2)(-3+6) = -1 ×3 =-3 no positive .2) The function is positive for all real values of x where
x < –6 or x > –3.COUNTER-EXAMPLE : x = - 2.5 you have -2.5>-3 but (-2.5+2)(-2.5+6) = -0.5 ×3.5 =-1.75 no positive .same method for the statement : "The function is negative for all real values of x where
x < –2."conclusion : statement about the function is true: "The function is negative for all real values of x where
–6 < x < –2.".