f(x) = 2|x|
To find the value of f(x) for a given x, we need to evaluate the expression 2|x|
To find the value of f(x) for a given x, we need to evaluate the expression 2|x|.
The |x| represents the absolute value of x, which is defined as the distance of x from 0 on the number line.
Let’s consider two cases: when x is positive or zero, and when x is negative.
1. When x ≥ 0 (positive or zero):
In this case, the absolute value of x is equal to x itself.
Therefore, f(x) = 2x.
For example, if x = 3, then f(x) = 2 * |3| = 2 * 3 = 6.
2. When x < 0 (negative): In this case, the absolute value of x is equal to -x (since x is negative and -x is positive). Therefore, f(x) = 2 * (-x). For example, if x = -5, then f(x) = 2 * |-5| = 2 * 5 = 10. In summary, the function f(x) = 2|x| evaluates to 2x for x ≥ 0, and 2 * (-x) for x < 0.
More Answers:
[next_post_link]