Now is where things get a little bit tricky! As we want to find the stationary points of e and their nature. To get arctan - use the trig button under ctrl. To get theta, use the π> button in the bottom left. To get the highest degree of our polynomial we can use polyDegree(e), and to get the gradient m we can use the derivative (dy/dx) of e. So,If (The equation is linear (highest degree of x is 1)) ThenDisplay the angle from x-axis EndIf Next, we can move onto the angle from x-axis.The equation for this is ø=arctan(m) -> but this only applies to linear equations. As the y-int will always be at (0, something) we can set it that way in our Disp:

To find it we can simply just find f(0).To do this we must use the given symbol (ctrl+equals then bottom right). To get the :, use ctrl+(button under delete on left) and then press delete to remove the =Īs we are only working with polynomials, there is only one y-int. (can be in any order)So to display the x-ints, we can simply do: Unlike functions, if we want to display this to the user in a program we cannot use return like we used in part 1, and instead must use **disp.**The syntax of Disp is: Disp 'WORDS',math/variables,'WORDS',math/variablesect. Now the first things we want to get are the x and y intercepts of any polynomial.To find x-ints, there is a native function on the TI-nspire called polyRoots, which gives us a list of x-ints of a polynomial (100x better than using solve(f(x)=0,x).Lets define a new variable roots and set it to be equal to polyRoots(e,x) - as we'll use roots later. The first thing we need is to request an equation, **e.**Between the brackets of poly(), enter e Name: poly Type: Program Library Access: None To start - open a new program page (from inside a document: control+doc-9-1). This one will be particularly useful for Methods students.Let's create a program this time that will give us useful information from any polynomial function - namely the x and y intercepts, stationary points (and nature) and angle from x-axis.

Polyroots ti 84