Question

Is the following graph a linear function, a nonlinear function, and/or a relation?

Answer 1

Explanation:

This graph passes the vertical line test, indicating that for any given input x, there will be exactly one output y. Thus, this graph represents a non-linear function and also a relation.

Answer 2

Option: C is the correct answer.

C. Non linear function and a relation.

Explanation:

The graph is clearly a relation since we have a ordered pair of the type:

(x,y)

Also, a relation is a function if it is passes the vertical line test.

i.e. there is just one image corresponding to every x value.

i.e. a variable x can't be mapped to two different values of y.

Hence, from the graph we can conclude that:

The relation is a function.

Also, the function is a non-linear function since the graph of a linear function is a straight line but here the graph is not a line.

Hence, the function is Non linear.