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

a) the function is even because it is symmetric with respect to the y-axis.

b) the function is odd because it is symmetric with respect to the y-axis.

c) the function is even because it is symmetric with respect to the origin.

d) the function is odd because it is symmetric with respect to the origin.

determine whether the function shown in the graph is even or odd a the function is even because it is symmetric with respect to the yaxis b the function is odd class=


Answer :

Answer:

a) the function is even because it is symmetric with respect to the y-axis.

Step-by-step explanation:

An even function means that each y-value of a function is the same for both a positive and negative x-value. This. can be seen by the coordinate points (-1,-5) and (1,-5). This relationship can be modeled by f(x) = f(-x) which is true for all functions with the highest degree being even. This also means that the function is symmetric with respect to the y-axis since the function shape is just mirrored.

Therefore, the correct answer choice is a).