Question

How do you graph `y=3*11^x`? What is the `y`-intercept and the domain and range?

Answer 1

`y-` intercept is 3. Domain is `x in RR`, Range is `y>=0`

Explanation:

The `y-` intercept is the `y` value when `x=0`:

`y=3xx11^0=3xx1=3`

The domain is the list of allowable `x` values. Notice that for any `x` value we put in, we'll get a value out (the range). Therefore, the domain is `x in RR`, or `x` can be any real number.

The range is the list of values we get from the domain. Notice that no matter what value of `x` we drop in, the resulting `y` will never be negative. Therefore, we can say that the range is `y>=0`

We can look at the graph:

graph{(3)11^x}