Q:

The function f(x)=3(2.5)x is shown on the coordinate plane.Select from the drop-down menus to correctly describe the end behavior of f(x) . As x decreases without bound, the graph of f(x) .As x increases without bound, the graph of f(x) .An exponential curve on a coordinate plane with horizontal x axis ranging from negative 4 to 4 in increments of 1. The vertical y-axis ranges from negative 1 to 7 in increments of 1. The curve begins infinitely close to the x axis in the second quadrant. The curve increases through begin ordered pair 0 comma 3 end ordered pair. DO NOT DELETE THIS PLZ HOEFULLY SOMEONE CAN TRY TO ANSWER IT

Accepted Solution

A:
As x increases without bound, the graph of f(x)  approaches y=0 increases without bound .We have function [tex]f(x)=3(2.5)^x[/tex]From the graph we can see that as x decreases without bound  the graph of f(x) approaches y=0.Also the exponential function in the graph is approaching y=0 as x decreases on the left side of the curve.Here as the exponential function here the power is x variable and the exponential function cannot be negative for any value of x.Therefore as x increases without bound, the graph of f(x)  approaches y=0 increases without bound .Learn more: