12. Determine if the functions are even, odd, or neither. Show your work to justify your (a) f(x) = x4 + 2x2-1 (b) f(x)+2
(a) Determine algebraically whether the functions below are even, odd or neither. i. r+6 f(x)=- r-r? (2 marks) ii. f(x) = 2x sinx (2 marks) (b) A periodic function is defined by: f(x) = 4-x?, -25x52, f(x+4)= f(x) i. Sketch the graph of the function over -10<x<10. (4 marks) ii. Based on result in (i), identify whether the function is even or odd. Give your reason. (2 marks) ii. Calculate the Fourier series expansion of f(x). (12 marks) (c) An...
Determine algebraically whether the function is odd, even, or neither. g(x) = -5x4 - 3x2 +9 O Odd, g(-x) = -g(x) O Even, g(-x) = g(x) Odd, g(-x) = g(x) O Neither even nor odd Even, g(-x) = -g(x)
Determine algebraically whether the given function is even, odd, or neither. h(x)= 3x²+4 O Neither Even Odd
Section 1.3 3. For each of the following, determine algebraically whether function is even, odd, or neither: A) f(x) = 5x - 7 Answer B)f(x) = 8x - 7x + 10 Answer c) f(x) - 6x2 + 1 Answer
Question 2 Determine if f(x) = 4x3 – 2x is even, odd, or neither? Insufficient Information O Neither Even Odd Question 3 Given that f(x) is one-to-one, and f(1) = 2. f(2)=5. f(5) = 0, and f(0) = 1. Determine (-10f-1)0). 5 2. O 1
Decide whether f is even, odd, or neither f(x)=x4-2x2 + 6 Choose the correct statement O A. The function is even O B. The function is odd. O C. The function is neither even nor odd
1. Determine whether the function f(x) = (x2 - 1) sin 5x is even, odd, or neither. A. Even B. Odd C. Neither 2. a). Find the Fourier sine series of the function f(x) shown below. b). Sketch the extended function f(x) that includes its two periodic extensions. TT/2 TT Formula to use: The sine series is f(x) = 6 sin NIT P where b. - EL " (x) sin " xd
Decide whether fis even, odd, or neither. f(x)= x4 - 4x2 + 8 Choose the correct statement. A. The function is even OB. The function is odd. OC. The function is neither even nor odd.
. Is f an even function, an odd function, or neither even nor odd? (a) Even (b) Odd (c) Neither even nor odd