How do you know when a line on a graph represents a relation but not a function

#see solution for details.

Step-by-step explanation:

-Draw a horizontal line across the subject line.

-If the drawn horizontal line intersects our subject line more than once, then the line is not function but a relation.

-A relation has more than one input

- A line is said to be a relation if it has more than one input values, and a function if it only has one input value.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

14

step-by-step explanation: