Determine whether each of the following functions is even, odd, or neither even or odd. (a) f(x) = x^5 + x (b) g(x) = 1 - x^6 (c) h(x) = 2x - x^4

Answer with Step-by-step explanation:

Even function: If f(x)=f(-x)

Then, the function is  an even function.

Odd function: If

Then, the function is an odd function.

a.

Replace x by -x

Hence, the function is an odd function.

b.

Replace x by -x

Hence, g(x) is an even function.

c.

Replace x by -x

Hence, h(x) is an odd function.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

the function makes a strait line horizontally with no x intercept but a y intercept at 9.