2. a is an odd function (Given)3. a(-x)=-a(x) (Def. odd function)4. b(x)=a(-x) (Trans. Prop. of Equality using 1 and 3)5. b(-x)=-a(-x) (Substitute -x for x in 1)6. -b(-x)=a(-x) (Div. Prop. of Equality)7. a(-x)=-
Answer to: Prove that the graph of an odd function is the same when reflected across the x axis as it is when reflected across the y axis. By...
解析 f is an odd function, so f(-x)=-f(x). g is an even function, so g(-x)=g(x). Then (f⚬g)(-x)=f(g(-x))=f(g(x))=(f⚬g)(x). So f⚬g is even. Also, (g⚬f)(-x)=g(f(-x))=g(-f(x))=g(f(x))=(g⚬f)(x), so g⚬f is even....
Because the sine function is an odd function, for a negative number u, sin(2u) = -2sin(u)cos(u). True False Explain. Determine whether the statement is true or false. The graph of y = -cos x is a reflection of the graph of y...
A an odd function B an even function C does not exist D none of these Video Solution Struggling with Limits And Deri... ? Get free crash course Text SolutionVerified by Experts The correct Answer is:B Show More | ShareSave Answer Step by step video, text & image solution for The de...
14. Suppose that f(x)is an odd function defined in R and its graph is symmetric with respect to the line x=1,and f(x)=x for 0≤x≤1.Then the expression of f(x)is ( ) (A)1 f(x)= \( (matrix) x-4k+1 ≤q x ≤q 4k+ -x+2-4k 4k+1...
Letf(x)be a twice differentiable function in(−∞,∞)such thatf''(x)<0∀x∈R, g(x)=f(x)+f(1-x) and g'((1)/(4))=0 then View Solution If f is an odd function such thatf'(3)=−2,then the value off'(−3)is equal to ...
百度试题 结果1 题目Write an equation for the polynomial function that is an odd function. 相关知识点: 试题来源: 解析 Answers may vary. f(x) = 2x3 − 2xAnswers may vary. f(x) = 2x3 − 2x 反馈 收藏
(a) The graph of y = cosh-1 (x), x≥ 1. (b) The graph of y = sinh-1(x). (c) The graph of tanh −1 (x), −1≤x≤ 1. As cosh(x) is not a one-to-one function, it has no true inverse. However, if we limit x to zero or positive values only then cosh −...
Interpolation requires a function that assumes the value of yn at xn for each n = 1, …, 8. Figure 8.6 shows a graph of the values in Table 8.5. From this graph, it appears that the actual relationship between x and y is linear. It is evident that no line precisely fits the data...