Graph equations or functions
After writing the equation or the function, you can easily plot its graph, by clicking the “Graph” button in the bottom left corner.
View graph of two expressions on the same
When you are in the Graph page, and you are viewing the graph of the problem you have written earlier, you click on the plus button which is located in the upper right corner. Then you write the next problem, the graph of which you want to plot. Then you again click the “graph” button and now you can analyze two graphs of functions on the same time you have written (with different colors).
Save or share graph
When you are in the graph page, you can save or share the graph by clicking the “more” button in the upper right corner (the three points button). When you click share, you can share the graph (as an image) with different methods (depending on the apps which you have in your phone). When you click the save button, you save the graph (as an image), in your phone, then you treat it as a every other picture in your phone.
Analyzing the Graph of a Polynomial Function
After you entered the function and clicked on the Graph button, now the graph is shown on your screen. At the bottom of the screen there is a “Graph Analysis” button denoted by three horizontal lines.
- Step 1 DOMAIN: The domain of any function is all the values that x can be for that function.
- Step 2 ZEROS: The zeros of a function f of x are the x-values for which f(x)=0.
- Step 3 SYMMETRY: A function can be symmetric about a vertical line or about a point. In particular, a function that is symmetric about the origin is also an “odd” function, and a function that is symmetric about the y-axis is also an “even” function.
- Step 4 ASYMPTOTES: An asymptote is a line that the graph of a function approaches but never touches. There are three kinds of asymptotes: horizontal, vertical and oblique asymptotes.
- Step 5 EXTREME POINTS: Also called extrema, are places where a function takes on an extreme value —that is, a value that is especially small or especially large in comparison to other nearby values of the function.
- Step 6 INCREASING AND DECREASING INTERVALS: In general, the derivative of a function may be used to determine whether the function is decreasing or increasing on any intervals in its domain.
- Step 7 INFLECTION POINTS: where the function changes concavity.
- Step 8 INFLECTION INTERVALS: A point of inflection of the graph of a function f is a point where the second derivative f″ is 0.The relation of points of inflection to intervals where the curve is concave up or down is exactly the same as the relation of critical points to intervals where the function is increasing or decreasing.