Answer:
The graph in the attached figure
Explanation:
we have
![g(x)=2^(x-1)+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qs25utnyb2oy6no37ownujat0306r3ixe6.png)
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
![g(0)=2^(0-1)+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a7ys0jgglaeiv2280ufqte6iq5zy52nhtl.png)
![g(0)=2^(-1)+3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sao0jm31az4dy3ms81s3361aatjqumoeg1.png)
![g(0)=(1)/(2) +3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z6helt781ls54p0xqv9mbaqfhhxxmjfuou.png)
![g(0)=3.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/esosd54j7phr20ij5o16dcoumbysnyimmq.png)
The y-intercept is the point (0,3.5)
using a graphing tool
The graph in the attached figure