Teachers can browse by activities to find suitable picks to use in class or to set as homework. These include marble-sliding games that have students transform periodic functions by trying to slide marbles through points on a graph. Desmos can also be used as a four-function calculato...
Graph of the cube root parent function f(x) = ∛x. Characteristics: Domain: (-∞, ∞). Range: (-∞, ∞). Inverse Function: g(x) = x3 General form: f(x) = ∛√(b(x – h)) + k. 4. Cubic Polynomial Parent Function Cubic functions are odd functions. The parent is: f...
In general, the easiest way to find cusps in graphs is tograph the functionwith a graphing calculator. Example: The function f(x) = x2/3has a cusp at x = 0. This is shown on the following graph: A cusp is a sharp curve on a graph. Graphed with Desmos.com. ...
I tried to graph an equation involving x raised to the fourth power using the Microsoft calculator app. It refused. Tried the same equation using the desmos graphing calculator and it worked. Question: Is the Microsoft calculator limited to lower level functions? * Moved from Community Participati...
Hot tip. Go to desmos.com and graph it. It really helps to see graphs and check your answers. You can click on zeros of the function and min/max as well. The graph shows that dy/dx >0 from pi/2 to pi and 3pi/2 to 2pi...
What are the steps to finding the formula from a cubic graph? The first step is to identify the coordinates of three points on the graph. Then, use these points to create three equations in the form of y = ax³ + bx² + cx + d. Finally, solve the system of equations to find...
A caution:a positive function isn’t necessarily anincreasing function(although it can be). The function f(x) = 4x2+ 2, shown on the above graph, is completely above the x-axis, which means it is a positive function. However, notice that it is only increasing for function values on th...
So by definition, nonlinear functions produce graphs that aren’t a straight line. Linear function (red) and two nonlinear functions: exponential (blue) and polynomial (green). Graph created with Desmos.com. Nonlinear Function vs. Linear Function: Steps In order to figure out if your function ...
For steps, use Go to Symbolab’s Calculator, which I use in the examples below. Above The X-Axis Example question: What is the area of the function f(x) = x2 between x = 1 and x = 5? Solution: Step 1: Graph the Area (using Desmos): This confirms that we are dealing with a...
TheHicks-Henne bump functionis used in aerodynamics. For example, to model uncertainties on an airfoil’s geometries[5]. Keane’s bump functionis a standard benchmark for nonlinear constrainedoptimization[6]. Bump Functions . References Graph created withDesmos. ...