Determine whether or not the relation is a function. (-3,6), (-2,7, (-1,8), (0,9)
sketch a graph.
one value of y for every value of x
certainly a function
In fact a straight line of form y = mx+b
slope = 1 goes through those points
y = x + b
9 = 0 + b
b = 9
so a function that easily fits those points is
y = x + 9
To determine whether or not the relation is a function, we need to check if each input value is associated with only one output value.
In this case, let's look at the input values:
-3 is associated with 6.
-2 is associated with 7.
-1 is associated with 8.
0 is associated with 9.
Since each input value is associated with only one output value, we can conclude that the relation is a function.