I need help on my homework, please help!!

The graph of the function y=(1/2)^x is shown at right.

a. Describe what happens to y as x gets larger and larger. For example, what is y when x=20? x=100? x=1000? x=n(a much larger number)?

b. Does the graph of y=(1/2)^x have an x‑intercept? Explain how you know.

c. Does y=(1/2)^x have a vertical asymptote? In other words, is there a vertical line that the graph above approaches? Why or why not?

a) y approaches zero

b) The graph has no x-intercept

c) The graph does not have vertical asymptote.

Step-by-step explanation:

The given function is

When x=20,

when x=100,

When x=1000,

As x is getting larger, y is approaching zero.

b) The graph of

does not have x-intercepts.

Because when y=0, we get:

This gives us:

Which is false.

Meaning the graph has no x-intercept , it is asymptotic to the x-axis.

c) The graph does not have a vertical asymptote.

For a vertical asymptote, the denominator of the function is zero.

So

But we know that an exponential function is never zero.

Therefore the graph has no vertical asymptote

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation:

a

step-by-step explanation: