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.

Respuesta :

The statement which is true about the function is that the function is negative for all real values of x where x < –3 or x > –1.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The graph of the function is,

[tex]f(x) = -(x +3)(x - 1)[/tex]

It is positive, its value is above x-axis. For the function above, the solutions are,

[tex]x+3=0\\x=-3\\x-1=0\\x=1[/tex]

The value of x is lies between,

[tex]-3 < x < 1[/tex]

Thus, the statement which is true about the function is that the function is negative for all real values of x where x < –3 or x > –1.

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