k is an unspecified constant - a parameter. k could be 1 or 2, but you shouldn't assume that it is any specific value.noahsdev said:Homework Statement
Consider the function ƒ:-k,k→R, where ƒ(x) = 1/√(k2-x2), where k is a positive constant.
(i) Sketch the graph of y = ƒ(x)
(ii) What is the domain of the function?
Homework Equations
ƒ(x) = 1/√(k2-x2)
The Attempt at a Solution
I don't understand how I am supposed to solve this. Couldn't k equal anything? Why couldn't it be 1 or 2? This makes no sense.
Help is appreciated. Thanks.
noahsdev said:I don't understand how I am supposed to solve this. Couldn't k equal anything? Why couldn't it be 1 or 2? This makes no sense.
Help is appreciated. Thanks.
noahsdev, after you label some point k on the positive side, label another as -k on the negative side. Then draw your graph.LCKurtz said:Just draw an x axis, mark some point on the positive side, and label it k. Then draw your graph.
"Sketch this function" means to visually represent the given function on a graph or coordinate plane.
To sketch a function, you will need to plot points on a graph or coordinate plane based on the given input and output values. Then, connect the points to create a smooth curve that represents the function.
The purpose of sketching a function is to gain a better understanding of how the function behaves and to visualize its key characteristics such as domain, range, intercepts, and asymptotes.
Yes, you can use a graphing calculator to sketch a function. However, it is important to have a basic understanding of the function and its key characteristics in order to accurately interpret the graph.
Yes, some tips for sketching a function include identifying the key characteristics of the function, such as the domain and range, using a sufficient number of points to plot on the graph, and checking for symmetry or any other special properties of the function.