WitrynaIf f(x) is an odd function, then ∣f(x)∣ is A an odd function B an even function C neither odd nor even D even and odd Medium Solution Verified by Toppr Correct option is B) If f(x) is an odd function, f(−x)=−f(x) Let g(x)=∣f(x)∣ ⇒ g(−x)=∣f(−x)∣ ⇒ g(−x)=∣−f(x)∣ ⇒ g(−x)=∣−1∣∣f(x)∣ ⇒ g(−x)=∣f(x)∣=g(x) ∴ ∣f(x)∣ is an even function. WitrynaQuestion: If f is an odd function, why is f(x) dx-0? Choose the correct answer below O A. Since f is odd, f is symmetric about the y-axis. Therefore, f(x) dx + f(x) dx= 0 → B. Since f is odd, f is symmetric about the origin.
4.6: Fourier series for even and odd functions
WitrynaSince f(x) is an odd function, its integral will be an even function. Therefore F(x)=F(−x) Hence F(a)=F(−a) or F(a)−F(−a)=0 or I=0 Solve any question of Integrals with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions Show that: ∫ −aa f(x)dx=2∫ 0af(x)dx, if f(x) is an even function. I=0, if f(x) is an odd function. Easy WitrynaThe function f graphed below is defined by a polynomial equation of degree 4 .use the graph to solve the exercises. (a) if f is increasing on an interval then the y-values of the point on the graph _____ as the x-values increase. aruni doval shaurya dobhal
Example 12 - Show that f(x) = { x+1, if x is odd - teachoo
WitrynaIf f x is an odd differentiable function defined on ∞, ∞ such that f '3=2, then f ' 3 equal toA. 0 В. 1C. 2D. 4 WitrynaIn case you're wondering:If f(x) is even, then f′(x) is odd.New math videos every Wednesday. Subscribe to make sure you see them! Witryna26 lut 2024 · Show that if f (x) is an even function, then g (f (x)) is an even function. The question does not say whether g (x) is odd, even or neither. Proving that g (f (x)) = g (-f (x)) (Proof that g (f (x)) is even) So that g (f (-x)) = g (-f (x)). But from there, I don’t know how else to rearrange it to finish off the proof. aruni galahitiya