Answer: B
Explanation:
To find the equation of the function shown in the table, we need to determine the relationship between the input (x) and the output (y).
From the table, we can see that the output (y) increases by 2 units each time the input (x) increases by 1 unit. This tells us that the slope of the line is 2. We also notice that the line passes through the point (0,1), which gives us the y-intercept.
Using the slope-intercept form of a linear equation (y = mx + b), where m is the slope and b is the y-intercept, we can write the equation of the function as:
y = 2x + 1
Therefore, the equation of the function shown in the table is option B: y = 2x + 1.