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Use the graph to answer the question.
A line with a slope of negative 5 passing through the origin.


see attached graph

Is the function even, odd, or neither? Why? Select one below

The function is even because it is symmetric about the y-axis.

The function is odd because it is symmetric about the y-axis.

The function is even because it is symmetric about the origin.

The function is neither even nor odd because it is not symmetric about the y-axis or the origin.

The function is odd because it is symmetric about the origin.

Use the graph to answer the question A line with a slope of negative 5 passing through the origin see attached graph Is the function even odd or neither Why Sel class=

Respuesta :

calculista

Answer:

The function is odd because it is symmetric about the origin.

Step-by-step explanation:

we know that

A function f(x) is even when

f(x)=f(-x) ----> the function is symmetry about the y-axis

A function is odd when

-f(x)=f(-x) ---> the function is symmetry about the origin

In this problem we have

f(x)=-5x

Verify if the function is even

For x=1 ----> f(1)=-5(1)=-5

For x=-1 ---> f(-1)=-5(-1)=5

so

f(x) is not equal to f(-x)

therefore The function is not even

Verify if the function is odd

we have

f(1)=-5

f(-1)=5

so

-f(1) is equal to f(-1)

-f(x)=f(-x)

therefore

The function is odd because it is symmetric about the origin.

Answer:

The function is odd because it is symmetric about the origin.

Step-by-step explanation:

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