A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.

f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).

Question

14-07-2022
Mathematics

contestada

A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.

f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).

Respuesta :

Otras preguntas

An item is priced at $13.24. If the sales tax is 5%, what does the item cost including sales tax? A- $0.66 B-$13.90 C-$18.86 D-$27.14

tu_______ (ver/leer) la television mientras hablabas por telefone.

which sentence describes a characteristic of a website

MACBETH ACT 3 Which of the following characters poses the greatest threat to Macbeth? Explain your answer with specfic support. A. Macduff B. Hecate and the wit

after the battle of fort sumter people who did not want to secede from thr union created the state of Tennessee Arkansas west Virginia or North Carolina

Explain why the statement "The speed of light is 300 million m/s" is not always correct.

How did the radio impact America?

President Polk promised to gain full control over the territory in the Pacific Northwest known as the

Which word best completes this sentence? Prefiero caminar ___ las calles. A. de B. a C. para D. por

The length of a rectangular backyard is 6 more than the width of the backyard. The perimeter of the backyard is 44 feet. What is the area of the backyard?

Martebi Martebi · Answer 1 · 2022-07-14T20:29:26+02:00

The statements that are true about the intervals of the continuous function are Options 2, 4 and 5

f(x) ≤ 0 over the interval [0, 2].
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).

What is the statement about?

Looking at the values given, the intervals which satisfies the condition are known to be:

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

f(x)>=0 over the interval [2,∞)

Because:

Since the table with x and f(x) values, we have to examine analyze the table and see the each option that is in line with f(x) or not .

Examine the values of x that is from -3 to 3, the f(x) values are both positive and negative . hence f(x)>0 is false over the interval (-∞,3)

Looking at the the interval from 0 to 2, the f(x) values are 0 and negative. Hence, f(x)<=0 over the interval [0,2]

When you look over the interval (-1,1), the f(x) values are said to be both positive and negative and as such, f(x)<0 is false over the interval (-1,1)

When you look at the interval (-2,0) , the f(x) is positive and as such, f(x)>0 over the interval (-2,0)

Looking at the interval [2,∞), f(x) is positive and as such, f(x)>=0 over the interval [2,∞)

Therefore, Option 2, 4 and 5 are correct.

Learn more about interval from

https://brainly.com/question/14454639

#SPJ1