User:5849206328x: Difference between revisions

Revision as of 11:58, 26 May 2015

$[asy] import slopefield; Label f; f.p=fontsize(6); xaxis(-1.5,1.5); yaxis(-1.5,1.5); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; real f(real x) { if (x < 0) return -1; else return 1; } real h(real x) { if (x != 0) return sin(1/x); else return 0; } draw(graph(f,-1.5,1.5,n=10000), red); draw(graph(h,-1.5,1.5,n=10000), blue); label("$f$",(-1.5,-1),W); label("$h$",(-1.5,h(-1.5)),W); [/asy]$

@@ Line 4: / Line 4: @@
 Label f;
 f.p=fontsize(6);
-xaxis(0,3);
+xaxis(-1.5,1.5);
-yaxis(0,3);
+yaxis(-1.5,1.5);
 real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
-real f(real x) { return sin(x) * cos(2x - 1) * sin(3x - 2) + 1.5;}
+real f(real x) { if (x < 0) return -1; else return 1; }
+real h(real x) { if (x != 0) return sin(1/x); else return 0; }
-draw(graph(f,0,3));
+draw(graph(f,-1.5,1.5,n=10000), red);
-dot((1.3,f(1.3)));
+draw(graph(h,-1.5,1.5,n=10000), blue);
-draw((0,f(1.3)) -- (3,f(1.3)), dotted);
-draw((0,f(1.3) + 0.2) -- (3,f(1.3) + 0.2), dotted);
-draw((0,f(1.3) - 0.2) -- (3,f(1.3) - 0.2), dotted);
-draw((1.3,0) -- (1.3,3), dotted);
-draw((1.2,0) -- (1.2,3), dotted);
-draw((1.4,0) -- (1.4,3), dotted);
-label("$f(a) + \epsilon$", (0,f(1.3) + 0.2), W);
+label("$f$",(-1.5,-1),W); label("$h$",(-1.5,h(-1.5)),W);
-label("$f(a) - \epsilon$", (0,f(1.3) - 0.2), W);
-label("$a - \delta$", (1.2,0), SW);
-label("$a + \delta$", (1.4,0), SE);
 </asy>

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User:5849206328x: Difference between revisions

Revision as of 11:58, 26 May 2015