Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is the function v(x)=−x6+4x2−1v(x) = -x^6 + 4x^2 - 1 even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Even and odd functionsright chevron icon

Full solution

Q. Is the function v(x)=−x6+4x2−1v(x) = -x^6 + 4x^2 - 1 even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither
  1. Calculate v(−x)v(-x): Calculate v(−x)v(-x) by substituting −x-x for xx in the function v(x)v(x).v(−x)=−(−x)6+4(−x)2−1v(-x) = -(-x)^6 + 4(-x)^2 - 1
  2. Simplify v(−x)v(-x): Simplify the function v(−x)v(-x).v(−x)=−x6+4x2−1v(-x) = -x^6 + 4x^2 - 1
  3. Compare v(x)v(x) and v(−x)v(-x): Compare v(x)v(x) and v(−x)v(-x) to determine if they are equal.\newlineSince v(x)=−x6+4x2−1v(x) = -x^6 + 4x^2 - 1 and v(−x)=−(−x)6+4(−x)2−1v(-x) = -(-x)^6 + 4(-x)^2 - 1, we see that v(x)=v(−x)v(x) = v(-x).
  4. Conclude function type: Conclude whether the function is even, odd, or neither.\newlineBecause v(x)=v(−x)v(x) = v(-x), the function v(x)v(x) is even.

More problems from Even and odd functions

Question
Find the degree of this polynomial.\newline`5b^{10} + 3b^3`\newline_______
Get tutor helpright-arrow

Posted 3 months ago

Question
Subtract.\newline(9a+5)−(2a+4)(9a + 5) - (2a + 4)\newline____
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the product. Simplify your answer. \newline−3v2(v2−9)-3v^2(v^2 - 9)\newline________
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer.\newline(v−3)(4v+1)(v - 3)(4v + 1)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the square. Simplify your answer.\newline(3y+2)2(3y + 2)^2\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Divide. If there is a remainder, include it as a simplified fraction.\newline(24t2+36t)÷6t(24t^2 + 36t) \div 6t\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the function q(x)=x6−9 q(x) = x^6 - 9 even, odd, or neither?\newlineChoices:\newline[[even][odd][neither]]\text{[[even][odd][neither]]}
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the product. Simplify your answer. \newline−3q2(−3q2+q)-3q^2(-3q^2 + q)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the product. Simplify your answer.\newline(r+3)(4r+2)(r + 3)(4r + 2)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Find the roots of the factored polynomial.\newline(x+7)(x+4)(x + 7)(x + 4)\newlineWrite your answer as a list of values separated by commas.\newlinex=x = ____
Get tutor helpright-arrow

Posted 3 months ago

View all (70)