Graph the piecewise function shown below. Using the graph, determine its domain and range. 2x , for x ≠ 01, for x = 0Solution For all intervals of x other than when it is equal to 0, f(x) = 2x (which is a linear function). To graph the linear function, we can use two poin...
The graph of a piecewise function depends on the functions in the given piecewise function. In order to graph the piecewise function, we need to analyze each function and the interval in which it is defined. Answer and Explanation:1 We are give...
Question: Graph the function. {eq}f(x)=\left\{\begin{matrix} 1-(x-1)^2, & x \le 2\\ \sqrt{x-2}, & x>2 \end{matrix}\right. {/eq} Piecewise Functions: Piecewise functions are functions whose definitions change depending on where within the domain...
For example, consider the piecewise function defined by p(x) = { -x if x< 0 and x if x is greater than or equal to zero. The two intervals in this example are (-infinity, 0) and 0, infinity). Graphing y=-x first on the interval (-infinity, 0) will yield the first part of...
Piecewise Function: In this exercise, we define a piecewise function f(x), that is a function defined in terms of sub-functions defined over sub-intervals. In particular, the subfunctions are defined in such a way that its left and right li...
"分段函数,就是对于自变量x的不同的取值范围,有着不同的解析式的函数。它是一个函数,而不是几个函数;分段函数的定义域是各段函数定义域的并集,值域也是各段函数值域的并集。" "In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid functio... ...
If you want to graph a piecewise linear function, graph each function on it's specific interval separately. Bring it all together, and you have your graph! This tutorial shows you the entire process for graphing a piecewise linear function. Keywords: piecewise function graph piecwise linear ...
(5points)1.Use the graph of the piecewise function shown below to answer the following questions. Each tick mark represents one unit on both thexandyaxes. a)Findf(1). b)Write the domain of the function in inter...
Graph the following piecewise-defined function. Indicate whether the endpoints of each piece(with a closed or open dot)are included on the graph. f(x)={2x+3ifx<2-5-12xifx≥2 (Hint: Graph each pieces as a line ray starting from the edge...
Yes, those two lines do yield the same result. The first line is used in the code in the question. I used the extra parentheses in the second to emphasize the order of operations used to evaluate the first.To