Question

Complete each of the following statements, if
F(x)=(2/3)^x
A. The domain of F(x) is ______.
B. The range of F(x) is ______.
C. The y-intercept of the graph of F(x) is _______.
D. The horizontal asymptote of the grpah of F(x) is the (x-axis/y-axis). Circle one.
E. The graph of F(x) is (increasing/decreasing) from left ot right. Circle one.
F. The value of the _______ determines whether the graph of an exponential function is increasing or decreasing from left to right.

I need Fast help with this PLEASE!!

Answer 1

Well, the only numbers you exclude from the domain are numbers that make the function undefined. Are there any values of x that make your function undefined?

Answer 2

no.

Answer 3

http://www.purplemath.com/modules/expofcns.htm

Answer 4

Right, so that means domain is all real numbers.

As for the range, we need the smallest value of y all the way up to the largest value of y. Now unless there is an extra + or - a number at the end of your function, exponential functions are always going to look something like this:



As you can see, I never go below the x-axis (y=0). So since your function does not have an additional shift up and down, can you get the range?