Question

Why does a function $f(x)$ have to be bijective in order to have a $f^{-1}(x)$ (in Euclidean plane)?

score 47 · Answer 1 · 2026-04-13 12:32:10

47

Views

Why does a function $f(x)$ have to be bijective in order to have a $f^{-1}(x)$ (in Euclidean plane)?

Published on 13 Apr 2026 - 12:32

score 121 · Answer 2 · 2026-05-10 21:20:44

121

Views

$ f(-f(x)) = -x , f(0) = 0$

Published on 10 May 2026 - 21:20

score 1.3k · Answer 3 · 2026-05-10 17:08:46

1.3k

Views

Does making a jump discontinuity undefined actually make the function continuous?

Published on 10 May 2026 - 17:08

score 111 · Answer 4 · 2026-04-14 00:02:49

111

Views

Plotting a graph of a equation

Published on 14 Apr 2026 - 0:02

score 26 · Answer 5 · 2026-04-16 09:46:36

26

Views

I have a function whose graph is as shown in the figure. I want to find where the plot starts to behave linearly.

Published on 16 Apr 2026 - 9:46

score 31 · Answer 6 · 2026-04-15 19:27:24

31

Views

How can I display this information in a graph?

Published on 15 Apr 2026 - 19:27

score 146 · Answer 7 · 2026-05-10 17:16:53

146

Views

How do I approximate a function in the form $z = f(x, y)$ of a real-life 3D surface?

Published on 10 May 2026 - 17:16

score 41 · Answer 8 · 2026-05-10 14:03:06

41

Views

Joint Probability Density (Graphing)

Published on 10 May 2026 - 14:03

score 44 · Answer 9 · 2026-05-12 23:51:28

44

Views

How do I derive parametric functions for drawing a curve given by an equation?

Published on 12 May 2026 - 23:51

score 50 · Answer 10 · 2026-05-10 14:45:55

50

Views

Creating a dynamic gradient for a temperature Map

Published on 10 May 2026 - 14:45

score 472 · Answer 11 · 2026-05-10 23:25:12

472

Views

Asymptotes for a function

Published on 10 May 2026 - 23:25

score 146 · Answer 12 · 2026-05-05 06:01:57

146

Views

Visualizing a Scalar Field: $T(x,y,z)=10e^{-(x^2+y^2+z^2)}$

Published on 05 May 2026 - 6:01

score 943 · Answer 13 · 2026-05-10 15:42:42

943

Views

Sketching open balls

Published on 10 May 2026 - 15:42

score 125 · Answer 14 · 2026-05-10 16:03:31

125

Views

Where is positive or negative the function $\sum_{n=1}^\infty\frac{\mu(n)}{n}\left(\frac{\cos(nx)}{n}\right)^2$ over the set $[0,2\pi]$?

Published on 10 May 2026 - 16:03

score 2.6k · Answer 15 · 2026-04-29 12:50:52

2.6k

Views

Dog bone-shaped curve: $|x|^x=|y|^y$

Published on 29 Apr 2026 - 12:50

List Question

Why does a function $f(x)$ have to be bijective in order to have a $f^{-1}(x)$ (in Euclidean plane)?

$ f(-f(x)) = -x , f(0) = 0$

Does making a jump discontinuity undefined actually make the function continuous?

Plotting a graph of a equation

I have a function whose graph is as shown in the figure. I want to find where the plot starts to behave linearly.

How can I display this information in a graph?

How do I approximate a function in the form $z = f(x, y)$ of a real-life 3D surface?

Joint Probability Density (Graphing)

How do I derive parametric functions for drawing a curve given by an equation?

Creating a dynamic gradient for a temperature Map

Asymptotes for a function

Visualizing a Scalar Field: $T(x,y,z)=10e^{-(x^2+y^2+z^2)}$

Sketching open balls

Where is positive or negative the function $\sum_{n=1}^\infty\frac{\mu(n)}{n}\left(\frac{\cos(nx)}{n}\right)^2$ over the set $[0,2\pi]$?

Dog bone-shaped curve: $|x|^x=|y|^y$

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