Which is the range of the function \( f(x)=\frac{1}{7}(9)^{x} \) ? all real numbers all real numbers less than 0 all real numbers greater than 0 all real numbers less than or equal to 0

The function \( f(x)=\frac{1}{7}(9)^{x} \) is an exponential function, and because exponential functions always yield positive values for all real numbers \( x \), the output of this function will also be greater than zero. Thus, the range is all real numbers greater than 0. Also, to visualize this better, think about how exponential growth works. As \( x \) increases, \( f(x) \) explodes to values much larger than zero, while as \( x \) decreases, \( f(x) \) approaches zero but never actually reaches it. This behavior beautifully captures the essence of exponential functions!