How to know if a graph is even or odd

Asked by admin @ 09/11/2021 in Mathematics viewed by 255 People

Determine whether the function shown in the graph is even or odd.

Answered by admin @ 09/11/2021

Answer:

D. The function is odd because it is symmetric with respect to the origin.

Step-by-step explanation:

We have been given a graph of a function. We are asked to determine whether our given function is odd or even.

We know that a function is even, when it is symmetric with respect to the y-axis.

We also know that a function is odd, when it is symmetric with respect to the origin.

Upon looking at our given graph, we can see that it is symmetric about the origin, therefore, option D is the correct choice.

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