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...
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...
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, ...
aToggle triad network (b) Set of possible update boolean functionsf:{{\mathbb{B}}}^{2}\to \{0,1\}wheref = g ∘ B. Left column: input valuesuare all possible values of pair of boolean variablesXandY. Second column; values of functionB(u). Columns 3–8: Collection of ...
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...
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...
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...
Determine the domain and range of the piecewise function for domain [−1,3]; range [−2,2]. Domain & Range: The domain and range of the piecewise function can be the same as the defined domain and range of all the functions. Also, in order to plot the graph,...
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. ...
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...