Answer: The function shown is neither an even or odd function
To start off, let's conclude that this is a function. A function is the relationship/pattern between 2 sets of numbers. In this case, x and y. because this is a constant parabola, we know it is a function.
Step-by-step explanation: An odd function must be true whenever its points are plugged into the following equation
-y*x=y*-x
However, and even function is true whenever its points can be plugged into this equation.
yx=y*-x
When you plug in the point (2,1) into these equations, you get:
-1*2=2*-1
-2=-2 for odd function
2*1=2*-1
2=-2 is false for even function
Meaning this equation is true for odd, but not for even. This means that we can discern that the function isn't even. But to make sure this is an odd function, we should check another point. In this case (-2,1). Let's see:
-1*-2=1*-2
2=-2 This is not true
Which means that this isn't an even or odd function.
