how do you graph linear functions?
600405
Generally, making an x,y chart helps plot your points. From there, you make a line.
928890
The slope of a line can tell you how to get from one point on the line to another. If the equation is a linear equation, a straight line, then just by knowing one point and the slope you can graph the function because the slope will tell you how to get to the second point you need.\n\nFor instance, if you are told that a line goes through the point (0,2) and has a slope of 1/2 you can plot the second point and connect the dots to draw your line. Since the slope is "rise/run" you have to "rise" one and "run" two to get to another point. "Rising" 1 from 0 gets you to 1, and "running" 2 from 2 gets you to 4. So the next point is (1,4).\n\nIn a more general sense, the slope of a of a graph tells you how quickly the function is increasing or decreasing. For instance, the function f(x) = x^2 has a slope of 2x (trust me on this) where as the function g(x) = 2x^2 has a slope of 4x. What this means is that g(x) increases twice as quickly as f(x). If you look at these two lines on the same graph, it is evident that one increases much more quickly than the other.\n\nIf you progress on into higher mathematics courses, you will see how important the concept of the slope is, especially in Calculus.
540264
a linear equation is just x+y=a number, or y=x+a number.  It could also have a coefficient in front of x or y in either equation.  To graph it, either use the slope-intercept form, where you take y=x+a number, the coefficient in front of x is the slope, and the number after x is the y-intercept, so, you plot (0, the number) and use the slope to find another point, then draw your line.  The second is to find two or three points that fit the equation and plot them.  Just substitute a number in for x two or three times, find y each time, and plot those numbers, then draw a line through them.
819957
Start with a graph of:\nf(x) = x\n\nThat's a straight line going through the origin with a slope of 1.  It should look like a 45 degree angle if you draw it correctly.\n\nNow to transform this to:\nf(x) = | x |\n\nYou have to think of each value smaller than 0.  Rather than -1, for example, you'll have 1.  Rather than -2, you'll have 2, etc.  This is like "mirroring" the graph that is below the x-axis so that it is above the x-axis.\n\nThis results in a "V" shape.  A slope of -1 down to the origin, then a slope of 1 from the origin.\n\nFinally:\nf(x) = | x | - 2\n\nFor every value that results, you now subtract 2.  For example, x = 0, gives -2, rather than 0.  This is true for every point x, making every point y smaller by 2.  It would look like you shifted the whole graph down 2 units.\n\nSo it would be "V" like before, but it would go down at a slope of -1, cross the x-axis at -2, and continue to (0, -2).  Then it would slope up (m=1) through the x-axis at 2 and continue upward.\n\nYou can go to the first link and type 'abs(x) - 2' in the box.  The resulting graph is shown as the 2nd link.
809234
you would plot it on a graph at (0,5) \nor "y-int=5"
985180
Pick 2 numbers for X, then plug them into your equation to get F(X), which is the Y value. Then you have the equations and put them onto your graph.\n\nTo plot the function, put your Y-intercept in (-3) then from there use the slope (-1/2) to plot other points. On the function, if you did it right you should come across your points that you made.\n\nHope this helps. Good Luck!!
142496
There are a number of available tools in the following website:\n\nhttp://www.functionx.com/
168156
get a TI 82 or above graphing calculator.  MUCH easier. program already installed, just build the type of matrix,, and plug in the numbers
356793
A linear function can refer to two slightly different concepts. In geometery and elementary algebra a linear function is a first degree polynomial mathematical function of the form:\n\nf(x) = m x + c \nwhere m and c are constants.\n\nThe problem with this geometric definition is that functions of the above form - despite their names - do not necessarily satisfy the conditions of a linear map. Therefore, some people refer to functions of the above form as affine functions. If and only if a function is of the above form with c equal to zero, the function satisfies the properties of a linear map, preserving scalar multiplication and vector addition for all points in its domain.\n\nLinear functions always have as domain the set of all real numbers and a range of all real numbers. By the geometric definition, the derivative of linear functions in terms of their independent variable, x, is always the constant m.\n\nLinear functions (according to the geometric definition) can also be written in the form:\n\ny = m x + c \nand plotted on an x,y graph. It forms a straight line, as the name implies.\n\nThe constant m is often called the slope or gradient while c is the y-intercept, which gives the point of intersection between the graph of the function and the y-axis.
923293
1. If you pass a vertical line down the graph, and it only passes through the function once, then ya, it is function.  If it passes through more than once, then it is not a function.\n\n2. Isolate x
793059
give values of -3,-2,-1,0,1,2,3 to x and find the corresponding values of y\nyou get the ordered pairs\nnow plot
560642
My dear, just go to www.quickmath.com and on the left hand side click on 'Equations' under 'Graphs' and thewn type in your equation u will get the graph. I have been using it for years....It's a great site!! I hope this helps :)
237913
Plot and analyze different types of graphs. Graph Plotter can also find asymptotes of function, break points, extremums and calculate limit, define integral and derivative of function.
763094
Here's a tip... why use a linear scale?  If the purpose of your plot is that you want to actually LOOK at the data, try using a log plot.\n\nInstead of:  plot(f,<quantity>);\nUse:  semilogx(f,<quantity>);\n\nIf you want better percision readout just do 'format long'.
778580
Go to this link:\n\nhttp://www.coolmath.com/graphit/index.html\n\nYou can enter your equation and graph it.
1055471
You need to graph this function. \nIt is a line.\ny = (x^2)^ 1/2 - 16 \ny = x - 16\nx = 0, y = -16, \nx = 16, y = 0
373083
Well, I'm not going to answer the question for you, but I'll tell you how to do it.\n\nWhen you're graphing the function, you set up a table with f(x) and x as the two columns, then solve for x for any set of numbers, like -3, -2, -1, 0, 1, 2, 3, and that's probably more than enough. Graph those on a piece of graph paper (f(x)=y, and then x). \n\nNow, to find the INVERSE, you simple switch the X and the Y. Instead of solving for x, you solve for f(x). So, your problem would be written x= -2/3y + 5. An easier way to do it, take the table you made before, and switch the columns, so that the solutions for x are underneath f(x) and the numbers you picked for f(x) are underneath the x column. Graph those coordinates. When you look at the graph, the inverse should be a mirror reflection of the first one, with  the graph of y=x as the line of symmetry. \n\nThat's how you find the inverse of any problem. Sorry if anything's unclear, if you need a better visual, I'm sure you could google up this exact method.