Use the virtical line test to determine which group does not represent a function

I just explained the verticle line test

Step-by-step explanation:

the verticle line test is if you draw a line at x=(insert x-value in question) and it hits more than two points from that equation then that does not pass the verticle line test. In the picture I attached, the green funtion(circle) does not pass the verticle line test because it hits x=1(black line) in more than one place while the red function(exponential function) passes the verticle line test because it hits x=1 at only one point.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is