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x if x>3 if 2<x<3 if x < 2 Given the following piecewise function: f(x)={-x |-0.5x...
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
Evaluate piecewise-defined functions Question Given the following piecewise function, evaluate /(-4). - 4x + 3 f(x) = x < 0 Osr<3 3S 2? + 2 Do not include "f(-4) =" in your answer. Provide your answer below:
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
Evaluate the piecewise-defined function for the given values. f(x) = 4x for x 20 - 4x for x < 0 Find f(1), f(2), f(-1), and f(-2). f(1) f(2) f(-1) = f(-2) =
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
Compute f(3) in the piecewise function f(x) = -1 <1 3.22 +2 121
For Exercises 21 and 22, consider the function f given by 5x – 2, for x S 3, f(x) 1x - 1, for x > 3. у 5 4 3 N -1 -5-4-3-2-1 -1 1 2 3 4 5 х -4 If a limit does not exist, state that fact. 21. Find (a) lim -f(x); (b) lim+f(x); (c) lim f(x). 22. Find (a) lim-f(x); (b) lim-f(x); (e) lim f(x). 23
Identify the correct graph of the following piecewise-defined function. -3x - 6 ifx-2 if x > -2 8(x) = Answer 2 Points
Evaluate the piecewise-defined function. if x < 0 f(x) = { 3-X if os x<3 if x2 3 3 x + 3 (a) () (b) f(3) =