Mirror a function about y axis

Question

I have a piecewise function from -1 to 0 in Maple, and I want somehow get a mirror piecewise function about y axis, just like here:

Piecewice mirror example

Is there any bult-in function for that?

score 3 · Accepted Answer · answered Nov 20 '13 at 17:30

3

However, we can think about the code reflect(p, [pt_2d, pt_2d]) in Maple, It is easy to do that as follows. I defined a function and their plots.

> with(plots):
  h := x->piecewise(x < -2, x+3, x <= 2, 5-x^2, 3-x):
  t:=x->h(-x):
  a:= plot(h(x), x = 0 .. 10, color = red, thickness = 3):
  b:= plot(t(x), x = -10 .. 0, color = green, thickness = 3):
  display(a,b);

enter image description here

answered Nov 20 '13 at 17:30

Mikasa

67,374

Using the command plottools:-reflect might perform better than the approach of using -x, if say the original function were very expensive to compute (and if not computed by some procedure having option remember). – acer Nov 20 '13 at 22:43
@acer: Thanks for the comment. :-) – Mikasa Nov 21 '13 at 02:05

score 2 · Answer 2 · answered Nov 20 '13 at 16:59

2

Substitute $x$ with $-x$. ${}{}{}$

answered Nov 20 '13 at 16:59

Emily

35,688
6
93
141

You beat me by 20 seconds! +1, my friend. :) – Ahaan S. Rungta Nov 20 '13 at 17:00

score 0 · Answer 3 · answered Nov 20 '13 at 16:59

0

Consider the substitution $ x \mapsto -x $. Note: functions such that $ f(-x) = f(x) $ are called even. For example, $f(x)=x^n$ is even if $n$ is even. Also, $ f(x) = \cos x $ is even.

answered Nov 20 '13 at 16:59

Ahaan S. Rungta

7,706

Mirror a function about y axis

3 Answers3