Question

An exponential function is graphed in the xy‑plane. If the graph of the function is always decreasing and has a y‑intercept of 20, which of the following could be the function's equation?

A) y=−20(1.75)​^x​​
B) y=20(1.75)^x
C) y=-20(0.75)^x
D) y=20(0.75)^x

Answer 1

It's D. when x = 0, y = 20 and the base 0.75 < 1 so it's always decreasing.