(Image credit: Desmos) Desmos is a great way to teach modelling and data analysis as well as real-world mathematical applications. But at a more basic level it lets students graph equations in a way that provides instant results, making it empowering. Students can also plot data poin...
A linear function is a type of function and so must follow certain rules to be classified as a “function”. For example, functions can only have one output for each input. On the other hand, equations are just statements that make two things equal, like x = y or 52x = 100. A line...
The function f(x) = x-2is absolutely integrable on the interval [1, ∞), but is not on (0, ∞). Graphed withDesmos. An integrable function, defined on a closed interval [a. b], has an indefinite integral defined by (Mendoza, 2017):. This indefinite integral is continuous and diffe...
How to graph a function without a calculator? How can I graph f(x) = (sin x) x on [-5pi, 5pi] ? Using Desmos, how can we describe what the graph shows? How to graph point-plotting method this equation? x=y^2 + 2 Explain why the graph does or does not represent a function...
Function transformations give us sets of mathematical operations we can perform on functions to shift or distort their graphs into other forms. The usual function transformations are translation (just moving the graph), dilation (stretches or compresses ...
B Just for fun: Cubic Graph Plot Mar 27, 2022 Replies 1 Views 1K Show that this graph isn't differentiable at x=1 Sep 19, 2018 Replies 22 Views 2K Finding the Length of a Polar Curve Using Desmos and the Arc Length Formula Mar 23, 2019 Replies 7 Views 2K How to pro...
by using a set of polynomials, rather than a function, points can be calculated and stored efficiently [1]. One disadvantage is that the classic Bernstein polynomials tend toconvergeslowly [2], a fact that caused them to “languish in obscurity” until the advent of the modern computer [3]...
Equations: Based on the polynomial degree. For example, linear function, cubic function. Range: Based on the outputs (aka range). Examples include inverse function, periodic functions, and sign function. Domain: Based on the types of equations used to define the functions. Includes algebraic func...
How can I graph f(x) = (sin x) x on [-5pi, 5pi] ? Using Desmos, how can we describe what the graph shows? How would we graph just q(x)? Explain how the graph of y = -3tan(1/2x) is related to the graph of the basic trigonometric function y = tan x. What is the ra...
Using Desmos, how can we describe what the graph shows? Use transformations to sketch the graph of the function. y = -sin 2x Provide an equation in the form y = a \sin x + c to represent the following graph Graph f(x) = x on [-4 pi,...