Exponential functions, graph the function, find the y- intercept and state the domain and range. Show all sets please please . Plot 5 on the graph please

Question

asked Dec 12, 2021 55.0k views

1 Answer

Svetlozar · Answer 1 · 2021-12-18T02:10:48+0000

Answer:

Explanation:

The function is given by
y = 2(((1)/(2) )^(x) - 1) .

In order to get the y intercept, we need to put x = 0.

x = 0 gives, y = 0.

Hence, the y-intercepts of the function is 0.

As the value of x approaches to infinity, the value of y tends to -2.

Hence, the domain of the function is
$(-G, \infty)$ , where G is a finite number.

The range of the function is
(-2, 2(2^(G) - 1)) .