Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Determine whether the function
f(x)=-9x^(2)+1-x^(3) is even, odd or neither.
even
odd
neither

Determine whether the function $f(x)=-9 x^{2}+1-x^{3}$ is even, odd or neither. $\newline$ even $\newline$ odd $\newline$ neither

View step-by-step help

View step-by-step help

Even and odd functions

Full solution

Q. Determine whether the function

f(x)=-9 x^{2}+1-x^{3}

is even, odd or neither.

\newline

even

\newline

odd

\newline

neither

Determine Function Type: To determine if the function $f(x)$ is even, odd, or neither, we need to compare $f(x)$ with $f(-x)$ . If $f(-x) = f(x)$ , then the function is even. If $f(-x) = -f(x)$ , then the function is odd. If neither condition is met, the function is neither even nor odd.
Calculate $f(-x)$ : First, we calculate $f(-x)$ by substituting $-x$ for $x$ in the function $f(x)=-9x^{2}+1-x^{3}$ . $\newline$ $f(-x) = -9(-x)^{2} + 1 - (-x)^{3}$
Simplify $f(-x)$ : Simplify the expression for $f(-x)$ .
$f(-x) = -9x^{2} + 1 - (-1)x^{3}$
$f(-x) = -9x^{2} + 1 + x^{3}$
Compare $f(-x)$ with $f(x)$ : Now we compare $f(-x)$ with $f(x)$ . We have $f(x) = -9x^{2} + 1 - x^{3}$ and $f(-x) = -9x^{2} + 1 + x^{3}$ . Since $f(-x)$ is not equal to $f(x)$ and $f(-x)$ is not equal to $-f(x)$ , the function $f(x)$ is neither even nor odd.

More problems from Even and odd functions

Question

Find the degree of this polynomial.

\newline

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

\newline

Posted 2 months ago

Question

\newline

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

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

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

\newline

Posted 1 month ago

Question

Find the product. Simplify your answer.

\newline

(v - 3)(4v + 1)

\newline

Posted 2 months ago

Question

Find the square. Simplify your answer.

\newline

(3y + 2)^2

\newline

Posted 2 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 2 months ago

Question

Find the product. Simplify your answer.

\newline

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

\newline

Posted 2 months ago

Question

Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

Posted 2 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 2 months ago