How do you graphically tell if a function is even or odd?
Subsequently, one may also ask, what is an odd or even graph?
A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin.
Similarly, is a graph even odd or neither?
There is just one algebraic test to determine if a function is even (symmetry about the y-axis), odd (symmetry about the origin), or neither (neither symmetric about the y-axis nor the origin). Step 2: Since f(-x) = f(x), f is an even function and the graph is symmetric about the y-xis.
It is neither. Since, e^-x can never be a negative quantity for any real value of x, it can not be a odd function. f(-x) = f(x) for all real values of x. Since e^-x is not equal to e^x for any real value except zero, it is also not an even function.