Which table shows a function that is decreasing over the interval (−2, 0)?

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

A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30

A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Question

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21-08-2022
Mathematics

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Which table shows a function that is decreasing over the interval (−2, 0)?

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

A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30

A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 1 · 2022-08-24T11:56:07+02:00

The correct option is C, which is A 2-column table with 4 rows. The first column is labeled x with entries -3, -2, -1, and 0. The second column is labeled f of x with entries 2, 0, -10, and -24.

What is a decreasing function?

If the value of x increases, then the value of f(x) will decrease then the function decreases. The function is called the decreasing function.

In the first option, the value of f(x) is increasing with the value of x. Then it is not a decreasing function.

In the second option, the value of the function f(x) increases and then decreases with the value of x.

In the third option, the value of the function f(x) decreases with the value of x.

Therefore, the correct option is C, which is A 2-column table with 4 rows. The first column is labeled x with entries -3, -2, -1, and 0. The second column is labeled f of x with entries 2, 0, -10, and -24.

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