User:5849206328x: Difference between revisions

Revision as of 11:42, 26 May 2015

$[asy] import slopefield; Label f; f.p=fontsize(6); xaxis(0,3); yaxis(0,3); real e = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286; real f(real x) { return sin(x) * cos(2x - 1) * sin(3x - 2) + 1.5;} draw(graph(f,0,3)); dot((1.3,f(1.3))); draw((0,f(1.3)) -- (3,f(1.3)), dotted); draw((0,f(1.3) + 0.2) -- (3,f(1.3) + 0.2), dotted); draw((0,f(1.3) - 0.2) -- (3,f(1.3) - 0.2), dotted); draw((1.3,0) -- (1.3,3), dotted); draw((1.2,0) -- (1.2,3), dotted); draw((1.4,0) -- (1.4,3), dotted); label("$f(a) + \epsilon$", (0,f(1.3) + 0.2), W); label("$f(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 11:42, 26 May 2015

@@ Line 4: / Line 4: @@
 Label f;
 f.p=fontsize(6);
-xaxis(0,6);
+xaxis(0,3);
-yaxis(-1,2);
+yaxis(0,3);
 real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
 real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
-real f(real x) { return 1 + 1/x; }
+real f(real x) { return sin(x) * cos(2x - 1) * sin(3x - 2) + 1.5;}
-real g(real x) { return (-1)/x; }
-real h(real x) { return sin(pi * x) * (1/2 + 1/x) + 1/2; }
-draw(graph(f,1,6), dashed);
+draw(graph(f,0,3));
-draw(graph(g,1,6), dashed);
+dot((1.3,f(1.3)));
-draw(graph(h,0.71,6));
+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("$f(a) - \epsilon$", (0,f(1.3) - 0.2), W);
+label("$a - \delta$", (1.2,0), SW);
+label("$a + \delta$", (1.4,0), SE);
 </asy>