Efofex Function Graph Quick Reference Card PDF

Efofex Function Graph Quick Reference Card Getting Started Polar Functions Access the quick function entry screen by Enter these using r and th (which will be shown as ) Pushing the button r = 2sin2 3th...

Efofex Function Graph Quick Reference Card Getting Started Polar Functions Access the quick function entry screen by Enter these using r and th (which will be shown as ) Pushing the button r = 2sin2 3th 2 r = 2sin 3 or Clicking the right mouse button Inverse Functions Type a function into the Functions box. Each line is a separate function Enter by typing x in terms of y or theta in terms of r Press Enter x = 12/y 12 x= Entering Functions y On most occasions you will be able to type the th = sin r  = sin r equation as you see it and the graph tool will interpret it Inequations correctly. Inequations can be drawn for Cartesian, Inverse and 3x3-2x2+3/2 3 2 3 Polar graphs. Replace the = with >=, or < 3x – 2x + 2 Adding "y =" to the front of the function definition is y >= 3x - 7 y  3x - 7 optional for Cartesian functions (but not other types of r < sin th r < sin  functions or inequations) The graph tool can shade just the feasible region for a There are a limited number of codes and keywords you set of inequations. must learn in order to enter every possible function. Parametric Functions Codes to Remember Enter the x and y components in terms of t. Separate =  a comma as a decimal point). *  / (followed by a space)  x = sin t; y = cos 3t pi  Parametric functions are graphed with a default domain th  sqrt 3 3 of 0  t  20 unless otherwise specified. sr(x2 + y2) x2 + y 2 Implicitly Defined Relations 3 3root x x The graph tool can graph any function expressed in Fractions terms of x & y. The graph tool will try to rearrange the relation in terms of x or y. If the graph tool cannot Fractions are entered using the / key. Complex rearrange the relation, it will graph the relation using a numerators or denominators must be surrounded with different technique that restricts the analysis that the brackets. These brackets are logical brackets and will graph tool can perform. not be displayed. Complex Numbers pi/6  6 Enter in terms of z and i OR cis. (3x+2)/4 3x + 2 4 z4 = 25 + 4i z = 5 cis pi/4 | z - i | >= 4 Spaces in Functions |z| < 5 z = (2 + 3i)2 Spaces in functions can determine their meaning. Slope Fields 2 sin2 x sin x Include a y’ in your function sin 2x sin 2x y' = 3x + 2y Plot as Points The only difference is the location of a space in the entered function. You can plot most functions as points on the plane. Power This option is available in the Function Properties screen. The power symbol is used to force an expression to be Points and Vectors a power when the graph tool does not automatically recognize it. (2,3) plots a point. 2^x 2x (2,3) (1,2) (-1,3) plots multiple points. 3^(x+2) 3x+2 (2,3)+(1,2)+(-1,3) plots points and joins them. 2 plots a vector. e^x2 ex +- vector addition / subtraction. Constants (1,2)+ vector addition from a point. The graph tool uses a, b, c, d, k and m as constants. Include them in any function and you can change the Note: If you use a comma as a decimal point, you must constants interactively. This permits animations and use a semicolon between the coordinates (eg 2;3) families of curves. Efofex Function Graph Quick Reference Card Entering Domains x2 ; -2