what is the rule for the function shown in the table below?
x -1 0 1 2
y -2 1 4 7
note that as x increases by 1, y increases by 3, so first guess:
y = 3x
But, y(0) = 1 instead of 0, so next guess:
y = 3x+1
that works for all of them.
To find the rule for the function, we need to identify the relationship between the values of x and y in the table.
Looking at the x-values and corresponding y-values, we can observe that the y-values increase by 3 for each increase in x by 1.
Therefore, the rule for the function can be expressed as:
y = 3x + 1
To determine the rule for the function shown in the table, we need to identify the pattern or relationship between the values of x and y.
Looking at the table, we can see that for each value of x, the corresponding value of y is found by adding 3 to the value of x.
To express this relationship as a rule or equation, we can say that y is equal to x plus 3, or y = x + 3.
In this case, the rule for the function is y = x + 3.