One newly academics question and answer requested students to assert what they think is the most important aspect for a student to do to be able to accomplish success. One that response stood out from the rest was practice. People who are always successful do not become successful by being born. They work hard and dedication their lives to succeeding. This is how you can attain your goals. in the following paragraphs some question and answer examples that you would possibly utilize to enhance your knowledge and gain insight that will help you to preserve your school studies.

## Question:

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, ∞).

## Answer:

**Answer:**

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 ∞

∴ 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).

They could simply hopefully guide the student answer the question by using the questions and answer examples. You could possibly then have a discussion with your classmate and continue the school learning by studying the topic jointly.