# How do you graphically tell if a function is even or odd?

**If a function is even**, the

**graph**is symmetrical about the y-axis.

**If**the

**function**is

**odd**, the

**graph**is symmetrical about the origin.

**Even function**: The mathematical definition of an

**even function**is f(–x) = f(x) for any value of x.

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.

Likewise, is a linear function even or odd? It is important to remember that a **function** does not have to be **even or odd**. Most **functions** are neither **even** nor **odd**. To determine whether the **function** egin{align*}y=3(x+2)^2+4end{align*} is **even or odd**, apply the test for both types.

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.

Is E X even or odd?

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.