We have been given three functions. We are asked to find the function which has the the greatest y-intercept.
We know that y-intercept of a function is the point, when the graph crosses y-axis. We know that the value of x is 0 on y-axis.
Upon looking at given graph of function , we can see that it crosses y-axis at , therefore, the y-intercept of the function is .
We can see that function is written in slope intercept form.
We know that slope-intercept form of an equation is , where, m represents slope of line and b represents the y-intercept.
Upon looking at , we can see that the value of b is 2, therefore, the y-intercept of is 2.
To find y-intercept of , we will substitute in function and solve as:
Therefore, the y-intercept of is 3.
Since 3 is greater than 2 and , therefore, has the greatest y-intercept.