The range of a logarithmic function is \( (-\infty, \infty) \) Select one: a. False b. True

a. False The range of a logarithmic function is actually \( (-\infty, \infty) \). However, the output values will vary depending on the inputs. For example, the function \( y = \log_b(x) \) is only defined for \( x > 0 \). Thus, while we can output any real number as a result, the function itself does not cover all \( x \) values, making this statement false. Logarithmic functions are the inverses of exponential functions, which helps us understand their behavior. The exponential function has a range of \( (0, \infty) \), and when we take the logarithm, we’re essentially reversing that process. So just like magic, the output turns from a restricted "positive zone" into an unlimited, boundless playground of numbers!