Supposefis defined as below. Determine the value ofbso that\displaystyle\lim\limits_{x\to5} f(x)exists. \\ f(x) = \left\{% \begin{array}{ll} 2x-3,& x<5\\[6pt] \frac 2 3 x + b, & x \geq 5 \end{array} \right. \\ ...
Determine the domain and range of the piecewise function shown in the graph below. Step 1:We work sub-function by sub-function to find the domain of the individual sub-functions. We start with the blue function. Moving from left to right, the blue curve is first defined ...
I just realized this piecewise function isn't defined for t < 0, so you're correct, it would be 1 Sorry about any confusion, although it is best to fully determine the function before changing values. This way there are no errors made if you're dealing with slightly bigger functions or...
For graphing functions, we need to take care of domain, range, asymptotes, and holes. Also, we need to know at least two to three points on each part of the curve for graphing the function.
Join our Math World now to meet up with other math students and mathematicians on the Web. Learn how to perform basic math functions, and share your own tips and tricks for solving problems and calculating answers for everything math related, from algebr
Determine if the function {eq}f(x)=\dfrac{x^2-1}{x-1} {/eq}is continuous over the interval (-5, -2). Use this to determine if the function is continuous at x = -3. Step 1:Identify the given function f(x) and the interval (a,b) ...
In this free video science lesson from Internet pedagogical superstar Salman Khan, you'll learn how to determine the empircal and molecular formulas of a substance given percent composition. Whether you need help studying for that next big test or could just use a hand finishing your homework, ...
It also allows us to approximate any periodic function with a combination of sinusoidal functions. How do you determine the coefficients of the Fourier series? The coefficients of the Fourier series can be determined by using the Fourier series formula, which involves integrating the give...
The function is undefined atx=3, so there is a discontinuity at this point. To determine the type, we will need to evaluate the limit asxapproaches 3. Step 2 Since the function has a00form atx=3, we need to find and divide out the common factors in the numerator and denominator. ...
How do you graph a piecewise function? Determine the value of 7!/6! without using a calculator. How can one create a graphical model in marketing research? Find f(x+h)-f(x)/h when f(x)=6/x How do you calculate total assets turnover?