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1. Which function(s) below can be described as an even function?
1. y=xis an even function because it is symmetric to y= x.
II. y= x2 is an even function because it is symmetric about the y-axis.
III. y= x3 is an even function because it is symmetric about the origin.

Respuesta :

Answer:|| y=x^2 is an even function because it is symmetric about the y axis

Step-by-step explanation:

This is about understanding even functions.

Only Option II is Correct.

  • From a graph, we can classify a function as either even function, odd function or neither.

  • Now, let us define them;

- Even function is when the graph is symmetrical about the y-axis.

- Odd function is when the graph is symmetrical about the origin.

- A function is neither even nor odd when it is neither symmetric about the x-axis nor symmetric about the origin.

  • Option I; This is wrong because an even function is symmetric to the y-axis and not y = x.
  • Option II; This is correct because an even function is symmetric about the y-axis.
  • Option III; This is wrong because it is an odd function that is symmetric about the origin and not even function.

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