D 44. What happens to an exponential function if \( b=1.5 \) ? a. It increases rapidly b. It decays towards zero c. It becomes linear d. It oscillates

If \( b = 1.5 \), the exponential function will exhibit rapid growth. This is because any base greater than one results in values that rise swiftly as the exponent increases, creating a steep upward curve on the graph. So, as you make \( x \) larger, the function \( f(x) = 1.5^x \) will skyrocket! However, it’s important to note that exponential functions can behave very differently based on their bases and exponents. If the base were less than one, the function would decay towards zero instead. This emphasizes how crucial the value of \( b \) is in defining the nature of exponential growth or decay.