Which statement is true about the graphed function f(x)?
f(x) < 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
f(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
f(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, ∞).
f(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).

F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75) ⇒ second answer

Step-by-step explanation:

* Lets explain the graph to answer the problem

- When we ask about f(x) we means the values of y

- f(x) > 0 means the graph is over the x-axis because over the x-axis

 y is positive

- f(x) < 0 means the graph is under the x-axis because under the x-axis

 y is negative

* Lets describe each part of the graph

- The graph intersect the x-axis at :

# x = -2.5 , x = -0.75 , x = 0 , x = 0.75

- The graph is over the x-axis between -∞ and -2.5 and between

  -0.75 and 0.75

# At x = -2.5 f(x) = 0 , at x = -0.75 f(x) = 0 , at x = 0.75 f(x) = 0

∴ x = (-∞ , -2.5) and (-0.75 , 0.75)

∴ f(x) > 0 over the intervals (-∞ , -2.5) and (-0.75 , 0.75)

- The graph is under the x-axis between -2.5 and -0.75 and between

 0.75 and ∞

# At x = -2.5 f(x) = 0 , at x = -0.75 f(x) = 0 , at x = 0.75 f(x) = 0

∴ x = (-2.5 , -0.75) and (0.75 , ∞)

∴ f(x) < 0 over the intervals (-2.5 , -0.75) and (0.75 , ∞)

* The true statement in the answer is the second one:

  F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).

A: F(x) < 0 over the intervals (–∞, –2.5) and (–0.75, 0.75). (on EDGE)

Step-by-step explanation:

(for those who dont like to read!)

c: lkllmn.

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