The graph for the function g(x) = -x² + x + 1 is added as an attachment
Using a table to identify the graph for the function
From the question, we have the following parameters that can be used in our computation:
g(x) = -x² + x + 1
To create the table, we set x to -2 to 2
Using the above as a guide, we have the following:
x g(x) = -x² + x + 1 g(x)
-2 g(-2) = -(-2)² + (-2) + 1 -5
-1 g(-1) = -(-1)² + (-1) + 1 -1
0 g(0) = -(0)² + (0) + 1 1
1 g(1) = -(1)² + (1) + 1 1
2 g(2) = -(2)² + (2) + 1 -1
This means that we plot the graph using the ordered pairs (-2, -5), (-1. -1), (0, 1), (1, 1) and (2, -1)
The graph is attached