How to determine the function is even odd or neither f(x)=5-3x

if the function is mirrored about the y axis, it is even

 use -x in place of x and compare the equations

lets use 2 for x

 so given formula would be 5-3(2) = 5-6 = -1

replace x with -x you would have 5-3(-2) =5-(-6) = 5+6 =11

since -1 does not = 11 the function is neither

even =f(x), odd = -f(x), neither f(x) doesn't equal -f(x)

example of odd:

f(x) = x^5 +x, replace x with -x

f(-x) = (-x)^5 +-x

=-x^5-x

=-(x^5+x)

=-f(x)

ODD

Example of even:

f(x) = 1-x^4

f(-x) = 1-(-x)^4

=1-x^4

=f(x)

EVEN

Example of Neither:

f(x) = 2x-x^2

f(-x) = 2(-x)-(-x)^2

=-(2x+x^2)

does not equal f(x)

NEITHER

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.