Which statement best describes how to determine whether f(x) = x4 – x3 is an even function?
determine whether (–x)4 – (–x)3 is equivalent to x4 – x3.
determine whether (–x4) – (–x3) is equivalent to x4 + x3.
determine whether (–x)4 – (–x)3 is equivalent to –(x4 – x3).
determine whether (–x4) – (–x3) is equivalent to –(x4 + x3).

The first option

Step-by-step explanation:

If 2 functions are even, then

f(x) = f(- x)

f(x) = - x³

f(- x) = - (- x)³ = + x³

Since f(x) ≠ f(- x) then f(x) is not an even function

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

y=mx+b

step-by-step explanation:

m slope

b y-intercept