Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is the function $b(x) = 3x^3 - x$ even, odd, or neither? $\newline$ Choices: $\newline$ (A)even $\newline$ (B)odd $\newline$ (C)neither

View step-by-step help

View step-by-step help

Even and odd functions

Full solution

Q. Is the function

b(x) = 3x^3 - x

even, odd, or neither?

\newline

Choices:

\newline

(A)even

\newline

(B)odd

\newline

(C)neither

Check Even Function: Check if $b(x)$ is even by evaluating $b(-x)$ and comparing it to $b(x)$ . $\newline$ $b(-x) = 3(-x)^3 - (-x)$
Simplify $b(-x)$ : Simplify $b(-x)$ . $b(-x) = -3x^3 + x$
Compare Even Functions: Compare $b(-x)$ with $b(x)$ . $\newline$ $b(x) = 3x^3 - x$ $\newline$ $b(-x) = -3x^3 + x$ $\newline$ Since $b(-x)$ is not equal to $b(x)$ , $b(x)$ is not even.
Check Odd Function: Check if $b(x)$ is odd by evaluating if $b(-x)$ is equal to $-b(x)$ . $-b(x) = -(3x^3 - x)$
Simplify $-b(x)$ : Simplify $-b(x)$ . $-b(x) = -3x^3 + x$
Compare Odd Functions: Compare $-b(x)$ with $b(-x)$ .
$-b(x) = -3x^3 + x$
$b(-x) = -3x^3 + x$
Since $-b(x)$ is equal to $b(-x)$ , $b(x)$ is odd.

More problems from Even and odd functions

Question

Find the degree of this polynomial.

\newline

`5b^{10} + 3b^3`

\newline

Posted 3 months ago

Question

\newline

(9a + 5) - (2a + 4)

\newline

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

-3v^2(v^2 - 9)

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 3 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 3 months ago

Question

Divide. If there is a remainder, include it as a simplified fraction.

\newline

(24t^2 + 36t) \div 6t

\newline

Posted 2 months ago

Question

Is the function

q(x) = x^6 - 9

even, odd, or neither?

\newline

\newline

\text{[[even][odd][neither]]}

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

-3q^2(-3q^2 + q)

\newline

Posted 3 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 3 months ago

Question

Find the roots of the factored polynomial.

\newline

(x + 7)(x + 4)

\newline

Write your answer as a list of values separated by commas.

\newline

x =

Posted 3 months ago