If a(x) is an odd function, determine whether b(x) is odd, even, neither, or cannot be determined. Explain your reasoning.b(x)=-a(x) 答案 Odd; sample answer: Proof:Given: a is an odd function and b(x)=-a(x)Prove: b is an odd function1. b(x)=-a(x) (Given)2. a is...
[ Justify your answer.] 相关知识点: 试题来源: 解析 OddWORK SHOWN: f(−x) = 2(−x)3 − 3(−x) = − 2x3 + 3x = −f(x)OddWORK SHOWN: f(−x) = 2(−x)3 − 3(−x) = − 2x3 + 3x = −f(x) 反馈 收藏 ...
To determine whether the function f(x)=xg(x)g(−x)+tan(sinx) is odd, even, or neither, we will follow these steps: Step 1: Substitute −x into the functionWe start by calculating f(−x):f(−x)=(−x)g(−x)g(x)+tan(sin(−x))Using the property of sine, we know...
Odd or Even Function :There are odd, even, or none of the above. An odd function is symmetrical with respect to the origin and fulfills the condition f(−x)=−f(x); whereas even are those that when x is replaced by −x remain the ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
x)and f is an odd function.Alternatively: f(x)=sin2x sof(-x)=sin(-2x)=-sin2x=-f(x).(b) g(-x)=-sinxcosx+1, and g is neither odd nor even.(c) +4, and h is neither odd300206.nor even.(d) i(-x)=(-x)tan(-x)=-x.-tanx=xtanx=i(x), and i is aneven function....
百度试题 结果1 题目Find f(-x) to determine whether each function is even or odd.f(x)=( sin x)x 相关知识点: 试题来源: 解析 f(-x)=(-sin x)(-x)=(sin x)x=f(x); even 反馈 收藏
Even and Odd Functions: In order to identify whether a function is even or odd, we replace the variablexby−x. The resulting function will determine if the function is even or odd. If the resulting function is the same with the original function, then it is even. Meanwhile, ...
A function is even if f(−x)=f(x)f(-x)=f(x). Tap for more steps... The function is not evenA function is odd if f(−x)=−f(x)f(-x)=-f(x). Tap for more steps... The function is oddy=csc(x)y=csc(x)...
Let's determine whether the function is even, odd, or neither. Then let us find the zeros of the function. {eq}\displaystyle f (x) = x^2 (4 -...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask...