Question

Which statement is true about the graphed function?

F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)

Answer 1

the correct answer is option D

Answer 2

Given  : graphed function

To Find : Which statement is true

F(x) < 0 over the interval (–∞, –4)

F(x) < 0 over the interval (–∞, –3)

F(x) > 0 over the interval (–∞, –3)

F(x) > 0 over the interval (–∞, –4)

Solution:

f(x) cuts x axis at -4

Hence interval

(-∞ , - 4) and ( - 4 , ∞ )

(-∞ , - 4)   f(x) > 0

( - 4 , ∞ ) f(x) < 0

F(x) > 0 over the interval (–∞, –4)   is correct option

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