In the function f(x) = |x|, what is the output when x is negative?

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Question: In the function f(x) = |x|, what is the output when x is negative?

Options:

Correct Answer: The output is positive.

Solution:

The absolute value function |x| outputs the positive value of x, regardless of whether x is negative or positive.

In the function f(x) = |x|, what is the output when x is negative?

In the function f(x) = |x|, what is the output when x is negative?

Step 1: Understand the function f(x) = |x|. This means we are looking at the absolute value of x.
Step 2: Recall that the absolute value |x| is defined as the distance of x from 0 on the number line, which is always a positive number.
Step 3: If x is negative, for example, x = -3, we find the absolute value: |-3|.
Step 4: Calculate |-3|, which equals 3, because we take the positive value.
Step 5: Therefore, when x is negative, the output of the function f(x) = |x| is always a positive number.

Absolute Value Function – The absolute value function |x| returns the non-negative value of x, meaning it converts negative inputs to positive outputs.