If f(x)=|x|,x∈R, then
Solution
To find the value of f(x) when x is any real number, we need to consider the absolute value function. The absolute value of a number is its distance from zero on the number line, regardless of whether the number is positive or negative.
In this case, the function f(x) is defined as the absolute value of x. So, for any given value of x, we need to determine its distance from zero.
If x is positive or zero, then the absolute value of x is equal to x itself. For example, if x = 3, then f(x) = |3| = 3.
If x is negative, then the absolute value of x is equal to the opposite of x. For example, if x = -3, then f(x) = |-3| = 3.
Therefore, the function f(x) = |x| will always yield a non-negative value, as it represents the distance from zero.
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