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Which table shows a function that is decreasing only over the interval (–1, ∞)?

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6.

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.

Respuesta :

The table shows a function that is decreasing only over the interval (–1, ∞) is option d: A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.

What is the table about?

The 4th Table among the options given in the image attached is said to be  showing the function that is depicting the value to be decreasing only over the interval.

Note that:

We have four tables which can be used to know or determine the function that is said to be decreasing only in the said interval.

If a person check the values after -1 in all of the four tables, the table of which values is said to be decreasing after -1 will be the table that depicts a function is decreasing only.

In table 1 = the value of x is increasing.

In table 2 and 3 = value is increasing and then decreasing.

So based on the above, Table 4th is correct.

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