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Analyzing the
Predict which statements are true about the intervals of
the continuous function. Check all that apply.
х
f(x)
01
-3
-15
-2
0
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, o).
-1
3
0
0
1
-3
2
0
3
15

Analyzing the Predict which statements are true about the intervals of the continuous function Check all that apply х fx 01 3 15 2 0 fx gt 0 over the interval 3 class=

Respuesta :

Answer:

1 NO

2 YES

3 NO

4 YES

5 ÝE

Step-by-step explanation:

The true statements about the continuous function are:

f(x) ≤ 0 over the interval [0, 2].

f(x) > 0 over the interval (–2, 0).

f(x) ≥ 0 over the interval [2, )

What are the correct intervals of the continuous function?

Functions in Math's are used to show relationships between variables.

Next, let us test the given options;

(A) f(x) > 0 over the interval (-∞, 3).

Using the table of f(x), the values in (-∞, 3) are values less than 3; i.e. -3 to 2.

If f(2) = 0, then f(x) > 0 is not true

(B) f(x) ≤ 0 over the interval [0, 2].

The values in [0, 2] are values from 0 to 2; i.e. 0, 1 and 2.

If f(0) = 0, f(1) = -3 and f(2) = 0

Then, f(x) ≤ 0

(c) f(x) < 0 over the interval (−1, 1).

Using the table of f(x), the values in (-1, 1) are values between -1 and 1; i.e. 0

If f(0) = 0, then f(x) < 0 is not true

(d) f(x) > 0 over the interval (–2, 0).

Using the table of f(x), the values in (-2, 0) are values between -2 and 0; i.e. -1

If f(-1) = 3, then f(x) > 0 is true

(e) f(x) ≥ 0 over the interval [2, ∞)

Using the table of f(x), the values in [2, ) are values from 2; i.e. 2 and 3

If f(2) = 0 and f(3) = 15, then f(x) ≥ 0  is true

Finally, the true statements are:

f(x) ≤ 0 over the interval [0, 2].

f(x) > 0 over the interval (–2, 0).

f(x) ≥ 0 over the interval [2, ∞]

Read more about intervals of continuous functions at; https://brainly.com/question/11803482

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