Question

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

score 45 · Answer 1 · 2018-02-03 20:55:00

45

Views

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

Published on 03 Feb 2018 - 20:55

score 113 · Answer 2 · 2026-03-24 19:01:22

113

Views

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

Published on 24 Mar 2026 - 19:01

score 1.3k · Answer 3 · 2026-03-26 14:16:07

1.3k

Views

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

Published on 26 Mar 2026 - 14:16

score 107 · Answer 4 · 2026-03-22 03:21:37

107

Views

Plotting a graph of a equation

Published on 22 Mar 2026 - 3:21

score 23 · Answer 5 · 2018-02-09 10:22:48

23

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 09 Feb 2018 - 10:22

score 28 · Answer 6 · 2026-03-22 13:15:27

28

Views

How can I display this information in a graph?

Published on 22 Mar 2026 - 13:15

score 142 · Answer 7 · 2026-03-25 01:28:00

142

Views

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

Published on 25 Mar 2026 - 1:28

score 39 · Answer 8 · 2026-03-24 23:58:58

39

Views

Joint Probability Density (Graphing)

Published on 24 Mar 2026 - 23:58

score 40 · Answer 9 · 2026-03-25 02:23:45

40

Views

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

Published on 25 Mar 2026 - 2:23

score 46 · Answer 10 · 2026-03-25 12:47:05

46

Views

Creating a dynamic gradient for a temperature Map

Published on 25 Mar 2026 - 12:47

score 467 · Answer 11 · 2026-03-21 23:37:14

467

Views

Asymptotes for a function

Published on 21 Mar 2026 - 23:37

score 138 · Answer 12 · 2026-03-17 23:28:12

138

Views

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

Published on 17 Mar 2026 - 23:28

score 940 · Answer 13 · 2026-03-24 22:06:27

940

Views

Sketching open balls

Published on 24 Mar 2026 - 22:06

score 117 · Answer 14 · 2026-03-22 14:34:02

117

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 22 Mar 2026 - 14:34

score 2.6k · Answer 15 · 2026-03-22 16:34:49

2.6k

Views

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

Published on 22 Mar 2026 - 16:34

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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