\( \mid \leftarrow \quad \) If the range of \( f(x) \) is given by \( (-\infty, 1] \), what is the range of \( |f(x)| \) ? The range of \( |f(x)| \) is \( (0,1] \). (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

Given that the range of \( f(x) \) is \( (-\infty, 1] \), we know that the values of \( f(x) \) can be any real number less than or equal to 1. The absolute value function, denoted as \( |f(x)| \), will always return a non-negative value. Therefore, the range of \( |f(x)| \) will be all non-negative real numbers. Since the range of \( f(x) \) is \( (-\infty, 1] \), the range of \( |f(x)| \) will be \( [0, 1] \). Therefore, the range of \( |f(x)| \) is \( [0, 1] \).