Question

I really need help with this one: f(x)=1500(.75)^x

a) Exponential Decay
b) Exponential Growth
c) Linear Function
d) Quadratic Function

Answer 1

The function f(x) = 1500(.75)ˣ is an example of exponential decay because the exponent base is less than 1. Hence the correct answer is option A

Step-by-step explanation:

The function f(x) = 1500(.75)ˣ represents an exponential decay because the base of the exponent, 0.75, is between 0 and 1. This means that as x increases, the value of f(x) decreases. This is in contrast to exponential growth, where the base would be greater than 1, causing the function to increase as x increases. A linear function is of the form y = mx + b and grows at a constant rate, whereas a quadratic function is of the form y = ax² + bx + c and has a parabolic shape.

Hence the correct answer is option A