Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]g(x)=2^{x-1}+3[/tex]
This is a exponential function
The domain is the interval ----> (-∞,∞)
All real numbers
The range is the interval ----> (3,∞)
All real numbers greater than 3
The y-intercept of the function is the value of the function when the value of x is equal to zero
For x=0
[tex]g(0)=2^{0-1}+3[/tex]
[tex]g(0)=2^{-1}+3[/tex]
[tex]g(0)=\frac{1}{2} +3[/tex]
[tex]g(0)=3.5[/tex]
The y-intercept is the point (0,3.5)
using a graphing tool
The graph in the attached figure
