Q:

The graph of the function f(x) = –(x + 3)(x – 1) is shown below. Which statement about the function is true? The function is positive for all real values of x where x < –1. The function is negative for all real values of x where x < –3 and where x > 1. The function is positive for all real values of x where x > 0. The function is negative for all real values of x where x < –3 or x > –1.

Accepted Solution

A:
Answer:The function is negative for all real values of x where x < –3 and where x > 1Step-by-step explanation:we have[tex]f(x)=-(x+3)(x-1)[/tex]using a graphing toolsee the attached figureVerify each statementCase 1) The function is positive for all real values of x where x < –1.The statement is false (see the attached figure)Case 2) The function is negative for all real values of x where x < –3 and where x > 1The statement is true (see the attached figure)Case 3) The function is positive for all real values of x where x > 0The statement is false (see the attached figure)Case 4) The function is negative for all real values of x where x < –3 or x > –1.The statement is false (see the attached figure)