How do you know if a graph has an inverse function? The graph must be one-to-one and onto. This is verified by the graph of the function passing the vertical and horizontal line test or by looking at the equation. If there is only one variable, then it is impossible to swap the x...
Why is the graph of an inverse function just a reflection of the graph of the original function about the diagonal line y = x? The answer is social convention – not mathematics! In this video I explain!Inverse GraphTags: no tags
9In the diagram, P is a point on the graph of an inverse proportional function and S_(△PQO)=10.(1)Find an analytical expression of the inverse proportional function.(2) Given that point P(p, 5) is on the graph, find the value of pand the distance between point P and the r-axi...
Each of these functions can be expressed as a Fourier series (a linear combination of an orthonormal set of basis sine and cosine functions). It turns out that Fourier series generalizes to compact Riemannian manifolds, where we can represent square-integrable functions in an analogous way. Howeve...
【题目】T he graph of a function and its inverseFor each of the following functions, work outthe inverse function, and draw the graphs ofboth the original and the inverse on the sameaxes, using the same scale on both axes.(i) f(x)=x^2 , x∈R^+(i) f(x)=2x, x∈R(i)f(x)...
百度试题 结果1 题目【题目】Graph the function and its inverse using thesame set of axes. Use any method.f( x)=logx,f^(-1)(x)=10^2 相关知识点: 试题来源: 解析 【解析】y_1=logx , y_2=10^x 反馈 收藏
But if we limit the domain to (−π2,π2)(−π2,π2), blue graph below, we obtain a one to one function that has an inverse which cannot be obtained algebraically. The inverse function of f(x)=tan(x),x∈(−π2,π2)f(x)=tan(x),x∈(−π2,π2) is We ...
Learn to define what an increasing function is. Find out the inverse function graph. Learn how to tell if a function is increasing or decreasing...
224 Suppose that A is a point on the graph of the inverse proportional function y=(k≠0),and the x-coordinate of point A is n,and the equation x2-nx+n-1=0 has two equal realroots.The area of a triangle formed by point A,point O(0,0)and point B(3,0)is 6.Findan ...
The are a of a triangle formed by point A, point O(0, 0) and point B(3, 0) is 6. Find an analytical expression of the inverse proportional function. 相关知识点: 试题来源: 解析 24 When A(2, 4), y=8/x ; when A(2,-4), 8 y=-8/x x 反馈 收藏 ...