9
QuizMultiple Choice

Introduction to Functions — Test

Question 9 • Algebra II

If f of x is an even function and open paren 6 comma 8 close paren is one the points on the graph of f of x , which reason explains why open paren negative 6 comma 8 close paren must also be a point on the graph?

Answer
A
The graph has rotational symmetry, so the point will be reflected across the y -axis.
B
Since the function is even, the outputs of a negative x -value and a positive x -value are the same.
C
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
D
Since the function is even, the outputs of a negative y -value and a positive y -value are the same.
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