b. Is the function \( y=-6\left(9^{-x}\right) \) an exponential function? Yes No

Absolutely, yes! The function \( y = -6(9^{-x}) \) is indeed an exponential function. Exponential functions are characterized by a constant base raised to a variable exponent, which in this case is \( 9^{-x} \). The negative factor (-6) simply scales the function but does not change its exponential nature. Now, you might be wondering how this function behaves! Since the base \( 9 \) is greater than 1, as \( x \) increases, the value of \( 9^{-x} \) decreases rapidly towards zero. Consequently, \( y \) will approach zero from the negative side, leading to a horizontal asymptote at \( y = 0 \). It's a classic exponential decay scenario to keep you intrigued!