Question

Select the correct answer from each drop-down menu.

Complete the statement to correctly describe the end behavior of the given function.
f(x) = 10(0.75)^x
The left end approaches what?and the right end approaches what?​

Answer 1

The left end approaches positive Infinite, and the right end approaches 0.

Answer 2

The left end approaches to + Infinite being an exponential function, and the right end to 0

Explanation:

we have to remember the exponential function, the best way to find the answer is plotting the graph or arranging a table of values.

As you can see in the attached graph the y axis gets closer and closer to 0 as it moves forward in the x axis, and as it moves to the left the y axis starts increasing rapidly.

Also you got to keep in mind the way that functions behave in terms of the sign of its variable. for example the 10 in this equation only makes the curve to get wider, but if you change the sign to minus, the answer would be different.