Answer:
B
Step-by-step explanation:
Exponential function [tex]y=a\cdot b^x[/tex] represents
- exponential growth if [tex]b>1;[/tex]
- exponential decay if [tex]0<b<1.[/tex]
Consider all options:
A. In the exponential function [tex]y=(0.25)^x,[/tex]
[tex]b=0.25<1,[/tex]
so it represents exponential decay.
B. In the exponential function [tex]y=7^x,[/tex]
[tex]b=7>1,[/tex]
so it represents exponential growth.
C. In the exponential function [tex]y=\dfrac{1}{3}(0.1)^x,[/tex]
[tex]b=0.1<1,[/tex]
so it represents exponential decay.
D. In the exponential function [tex]y=\left(\dfrac{2}{3}\right)^x,[/tex]
[tex]b=\dfrac{2}{3}<1,[/tex]
so it represents exponential decay.
