Graph is an application which graphs two dimensional functions of the form "y = F(x)" and three dimensional functions of the form "x = F
\fs18\dn6 x
\fs24\dn0 (u, v); y = F
\fs18\fc1\cf1\dn6 y
\fs24\fc0\cf0\dn0 (u, v); z = F
\fs18\fc1!06
\dn6 z
\fs24\fc0\cf0\dn0 (u, v); . The function F(x) may use:\
\pard\tx1340\tx3020\tx5820\fc0\cf0
\i Example
\i0 \
\pard\tx1340\tx6080\fc0\cf0 the independent variable "x"
\b0\i \
\i0 integer and real numbers
\b -34, 3.14159, -4.1e-9
\b0 \
\i0 radix numbers (e.g., base 16, 2)
\b 16#1Ae, 2#101011
\b0 \
basic arithmetic operators + - * /
\b 9 + 0.3 * x
\b0 \
the modulus operator %
\b x % 3
\b0 \
the exponent operator ^
\b x ^ 4 - 1
\b0 \
parentheses for grouping
\b (x + 1) * (x - 1)
\b0 \
two common constants, pi and e
\b 2 * pi + e ^ x\
\b0\ul coefficients A through H
\ulnone
\b A*x^2 + B*x + C
\b0 \
\b0 basic trig functions
\b sin(x), cos(x), tan(x)
\b0 \
\b0 basic inverse trig functions
\b asin(x), acos(x), atan(x)
\b0 \
exponential and natural log
\b exp(1/x^2), ln(x+1)
\b0 \
square root
\b sqrt(x)
\b0 \
\pard\tx1340\tx6380\fc0\cf0 \
To enter a new equation, type an expression using the above terms into the forms labeled "
\b x =
\b0 ", "
\b y =
\b0 ", or "
\b z =
\b0 " and hit return.\
Graph lets you change the values of the coefficients in real time, with the sliders on the right side of the document window. Sprinkle these through your functions and play with their values to gain insight into how the components of your function interact.\
There is a separate "Copy Graph" command for copying your work to other applications. Graph supports Object Links as a source. This means if you do "Paste and Link" in an application that supports Object Links, your pasted graphs will stay up to date even when you change them back in Graph.\
In 2D documents, the
\b Zoom In
\b0 and
\b Zoom Out
\b0 buttons enlarge and shrink the image by a factor of two. The other scaling control is the
\b Auto Scale
\b0 switch. If this is on, then the view of the graph is always scaled so the whole image fits. If it is off, the piece of the plane being viewed remains the same while other controls are changed. The range of x values over which the function is evaluated are controlled by the
\b Min
\b0 and
\b Max
\b0 sliders. The
\b Resolution
\b0 slider controls how many points within the x range are plotted. A higher resolution means a smoother graph, but it will be a little slower to update.\
In 3D documents, the
\b Zoom
\b0 slider moves the !07
oint closed and farther to the origin of the space. You can rotate the figure by just clicking on the graph itself and dragging. The range of u and v values over which the functions are evaluated are controlled by the
\b Min
\b0 ,
\b Max
\b0 ,
\b Min
\b0 and
\b Max
\b0 sliders. The
\b Resolution
\b0 slider controls how many points within the u and v range are plotted. The number of polygons plotted is proportional to the resolution squared. A higher resolution means a smoother graph, but it will be a little slower to update.\
(.txt)