Question

Which statement is true about the graphed function? F(x) < 0 over the intervals (-[infinity], -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-[infinity], -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, [infinity]).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, [infinity]).

Answer 1

Given :  A graph

To Find : Which statement is true about the graphed function?

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

F(x) > 0 over the intervals (-∞,  -0.7) and (0.76, 2.5).

F(x) < 0 over the intervals (-0.7, 0.76) and (2.5,∞ ).

F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞ ).

Solution:

f(x)  cut x axis at

-0.7 ,  0.76 , 2.5

so we get

(-∞,  -0.7)  , (-0.7, 0.76) ,  (0.76, 2.5) ,  (2.5,∞ )

(-∞,  -0.7) , f(x) < 0

(-0.7, 0.76) , f(x) > 0

(0.76, 2.5)  , f(x) < 0

(2.5,∞ )  , f(x) > 0

f(x) < 0  for (-∞,  -0.7)  and (0.76, 2.5)

f(x) > 0  for (-0.7, 0.76)  and (2.5,∞ )  

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).  is correct option

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Which statement is true about the graphed function

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