The dashed line in the examples indicate that the shape there is not determined by this particular test.ExampleThe above graph shows two functions (graphed with Desmos.com):-3x3 + 4x = negative LC, odd degree. The graph rises on the left and drops to the right. 4x2 + 4 = positive LC...
Using transformations to graph functionsSometimes we can use the concept of transformations to graph complicated functions when we know how to graph the simpler ones.For example, if you know the graph of f(x), the graph of f(x) + c will be the same function, just shifted up by c ...
An online graphing calculator is a virtual tool that allows used to graph a function without needing a handheld calculator. A great and free example of one is Desmos.Graphing Calculators Graphing calculators can be used to complete arithmetic, just like regular calculators, but they can also be ...
They are called “symmetric” not because their graph showssymmetry, but because they remain the same if you permute their roots. As far as graphing, the graph of any symmetric polynomial would look exactly the same no matter which variables you switch around. If the graph changes, then the ...
The graph of f(x)=3x (red) is increasing. the graph of f(x) =-3x + 9 (blue) is decreasing.Increasing functions travel upwards from left to right; as x increases, y decreases. With decreasing functions, as you move from left to right, the graph goes downward. In other words, as...