Question

Does this graph represent a function? Why or why not?

Answer 1

Answer:

Option: B is the correct answer.

B) Yes, it is a function because it passes the vertical line test.

Step-by-step explanation:

A function is a graph in which every element of a set is mapped to a unique element of the other set.

i.e. corresponding to each element of a domain there is only image.

That is the graph passes the vertical line test.

(i.e. any line passing through the domain and parallel to the y-axis must intersect the curve exactly once)

Answer 2

This graph represent a function because it passes the vertical line test(answer B)

Further explanation

Set A to set B is said to be a function if each member of set A pairs is exactly one member of set B

So, one value of x is only assigned to one value of y, or one input for one output

A function can be expressed in the form of a cartesian diagram,the set of ordered pairs, or arrow diagrams

If y is a function of x, then y = f (x)

where x is the independent variable and y is the dependent variable

x is the domain and y is the result area or range

There are several forms of function including:

• 1. linear function
• 2. quadratic function
• 3. trigonometric functions
• 4. polynomial function
• 5. fraction function etc.

One of the features mentioned above is that the function graph must map each domain member (x value) with one codomain member value y

So the graph is not a function if a graph that has one or more domain members is paired with more than one member of the codomain

Or we can use vertical line test, if vertical line crosses more than one value than the graph is not function

In the graph above, if we draw a straight line parallel to the y axis, then the graph does not intersect at 2 points, so that the graph is a function

Learn more

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Keywords: domain, codomain, function, graphic