For 34 & 36, determine whether it is even, odd, or neither 34. p (x) = - Lxl+ 12x10 + 5 Symnethe - |-xI+lax+5. %3D 36. m (x) = -4x + 2x+ x odd ( S + 2x3ty

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
I am having a hard time remembering the steps
For exercises 34 and 36, determine whether the function is even, odd, or neither.

**34.** \( p(x) = -|x| + 12x^{10} + 5 \)  
   *Solution: Symmetric*  
   Rewritten expression: \(-|x| + 12x^{10} + 5\)

**36.** \( m(x) = -4x^5 + 2x^3 + x \)  
   *Solution: Odd*  
   Rewritten expression: \(-(-4x^5 + 2x^3 + x)\)

---

**Explanation:**

- An **even function** satisfies \( f(x) = f(-x) \) for all \( x \) in the domain.
- An **odd function** satisfies \( f(-x) = -f(x) \) for all \( x \) in the domain.
- A function is **neither** if it does not satisfy either condition.
Transcribed Image Text:For exercises 34 and 36, determine whether the function is even, odd, or neither. **34.** \( p(x) = -|x| + 12x^{10} + 5 \) *Solution: Symmetric* Rewritten expression: \(-|x| + 12x^{10} + 5\) **36.** \( m(x) = -4x^5 + 2x^3 + x \) *Solution: Odd* Rewritten expression: \(-(-4x^5 + 2x^3 + x)\) --- **Explanation:** - An **even function** satisfies \( f(x) = f(-x) \) for all \( x \) in the domain. - An **odd function** satisfies \( f(-x) = -f(x) \) for all \( x \) in the domain. - A function is **neither** if it does not satisfy either condition.
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning