The piecewise function is defined as {eq}f(x)=\left\{\begin{array}{cc}x+1 & x<1 \\ 1 & x=1 \\ x-1 & x>1\end{array}\right. {/eq}. Determine the value of {eq}f(1) {/eq}. Value of a Function: Le...
Determine if the function g(x)={x+1,x<12x,x>1 is differentiable at x=1.Differentiability:In a piecewise function we cannot determine the differentiability at a point by simply differentiating the function. In case of break points (points wh...
Mass of an object is a parameter that is independent on the model used; any model attempting to describe motion will need to have this parameter present. Since network ODE models are not derived from first principles, changing a nonlinearity from a Hill function to, say, a polynomial, ...
Mass of an object is a parameter that is independent on the model used; any model attempting to describe motion will need to have this parameter present. Since network ODE models are not derived from first principles, changing a nonlinearity from a Hill function to, say, a polynomial, ...
Vertical Line Test | Definition, Function & Examples from Chapter 6 / Lesson 3 22K Discover how to do the vertical line test using a graph. Learn about how the vertical line test can be used to determine if an equation is or is not a function. Related...
Find a function f that has derivative f'(x) = -6x - 6 and with a graph passing through the point (-6, 1). Find f(x) given that f'(x) = 10x - 6 and f(-3) = 3. f(x) =___ Let f be a differentiable function so that f'(x) = x\sqrt{f(x)} and f(3) = 25. ...
Ask a question Search AnswersLearn more about this topic: Piecewise Functions | Graph & Examples from Chapter 8 / Lesson 3 58K In this lesson, learn how to graph piecewise functions. Learn to understand the steps involved in graphing piecew...
Graph the function. Determine the limit (if it exists) by evaluating the corresponding one-sided limits. limx→2|x−2|x−2 One-Sided Limits:To devaluate a limit, we need to see what the function approaches from both the left a...
Piecewise Functions: Piecewise functions in which each branch is defined by a polynomial function can only be discontinuous at the values where the expression of the function changes, remember that polynomial functions are always continuous. An...
from Chapter 6/ Lesson 4 48K Develop an intuition for the limit of a function. Learn the properties of the limit of a function. Apply the rules to compute the limits of functions through examples. Related to this Question The graph of a function y = ...