Question

The ordered pair (3,-4) is among the points on the graph of the function f. Which of the following doesn’t belong to the function f?

A (3,4)
B (-3,-4)
C (-4,3)
D (-3,4)

Answer 1

Explanation:

A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).

Such that a function can map each element of the domain into only one element of the range.

Then, if a "function" has:

f(x1) = y1

and

f(x1) = y2

It is mapping the input "x1" into two different outputs, then this is not a function.

Now, we know that the ordered pair (3, -4) is among the points on the graph of the function f(x)

(The first value is the input and the second one is the output)

Then the point that does not belong to the graph, is the point that has the same input and different output.

(3, 4)

Any of the other points could belong to the graph.

Answer 2

(3, 4)

Explanation:

A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).

Such that a function can map each element of the domain into only one element of the range.

Then, if a "function" has:

f(x1) = y1

and

f(x1) = y2

It is mapping the input "x1" into two different outputs, then this is not a function.

Now, we know that the ordered pair (3, -4) is among the points on the graph of the function f(x)

(The first value is the input and the second one is the output)

Then the point that does not belong to the graph, is the point that has the same input and different output.

(3, 4)

Any of the other points could belong to the graph.