Which functions are even? select all that apply

Options B, C and E are even functions.

Step-by-step explanation:

If f(x) = f(-x) then function is called to be even.

A). f(x) = ∛8x

f(-x) = ∛8(-x) = (∛8)(∛(-x) = 2∛(-x)

Therefore f(x) ≠ f(-x)

So function is not an even function.

B).

f(x) = f(-x)

So this function is even.

C).

            =

f(x) = f(-x)

Therefore given function is even.

D). f(x) =

Therefore f(x) ≠ f(-x)

So the given function is not even.

E). f(x) = |8x| - 3

f(-x) = |8(-x)| - 3

      = |8x| - 3

f(x) = f(-x)

Therefore, function is even.

F).

f(x) ≠ f(-x)

Therefore the given function is not an even function.

Options B, C and E are even functions.

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .