Question

The table represents a function.

Answer 1

Greater than. The proper function for the table is y = x + 1

Answer 2

Answer:

Greater than

Step-by-step explanation:

The function y=2x+5 is written in slope-intercept form, y=mx+b, where m is the slope (rate of change) and b is the y-intercept.  The slope in this function is 2.

The slope of the function in the table is given by the formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the first two points, we have

m = (3-0)/(2--1) = 3/3 = 1

The rate of change is 1.  This is less than the first function, which means the rate of change of the function y=2x+5 is greater than the slope in the table.