Answer:
The left end approaches positive infinity, and the right end approaches 0.
Step-by-step explanation:
To know the behavior of the function in the left, we need to see what are the values of f(x) when x is smaller, so
For x = -10
f(x) = 10(0.75)^(-10) = 177.57
For x = -20
f(x) = 10(0.75)^(-20) = 3153.37
Therefore, when x is smaller, f(x) increases. It means that the left end approaches positive infinity.
In the same way, we need to see what are the values for f(x), when x is greater
For x = 20
f(x) = 10(0.75)^(20) = 0.0317
For x = 30
f(x) = 10(0.75)^(30) = 0.0017
So, when x increase, f(x) is closer to 0. It means that the right end approaches 0.
So, the answers are
The left end approaches positive infinity, and the right end approaches 0.