How do you graph, find any intercepts, domain and range of #f(x)=4(1/2)^(x-1)-3#?
To find the domain, we ask ourselves...
What values of
We see that any real number will make the function be valid.
Therefore, the domain is all real numbers.
Similarly, we ask ourselves,
What is the largest and the smallest possible values you could obtain as the
Essentially, we are heading towards -3 without ever reaching it.
Therefore, the range is
To find the intercepts, we note the following:
On the y-intercept, the x value is 0.
On the x-intercept, the y value is 0.
Therefore, on the y-intercept, we have:
The y-intercept is at
Similarly, on the x-intercept, we have:
The x-intercept is at
As to graphing it, I recommend plugging in