Let’s say you had a vector transformation that mapped vectors in an R3 vector space to vectors in an R2 space. The general way to write the notation is: f: R3→ R2 A specific example: f(x1, x2, x3) = (x1 + 3x2, 4x3) Note that f(x1, x2, x3) has three vectors and so...
Is a function: “many to one“. This is saying if you have multiple x-values that map to one y-value — say, (2,9), (3,9) and (6,9) — then that still qualifies as a function. Put more simply, it’s okay for a function to have multiple coordinate points in a straight lin...
Log In Sign Up Subjects Math General Mathematics Summation How to graph a Fourier series?Question:How to graph a Fourier series?Fourier series:A fourier series is a periodic function composed of harmonically related sinusoids and combined be a weighted summation. ...
Note that graph transformation occurs when we change some values in the original function. Answer and Explanation: We are given the function f(x)=sinx. We wish to graph the given function. So, we have: Solution: The graph of this functi...
Curves corresponding to a sinusoidal function have a wave-like appearance. This distinctive shape is repeated indefinitely throughout its domain. To graph it we must identify its maximum amplitude, the value of its phase, and the frequency. Given its equation, we can extract the necessary ...
Function Transformation: 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 (...
Graph the following equation in a rectangular coordinate system. x = -5 Write the function whose graph is the graph y = sqrt x, but is shifted down 9 units. How do you know where to plot the points of a cosine function on a graph? Is there a more simple way then plugging ...