Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x...
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
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+
For the piecewise-defined function shown, find the following values, if they exist: a) lim f(x) = b) lim f(x) = c) limf(x) = d) f(2)= e) lim f(x) =
2. For f(x) = f(x) = $2x+5, Xs1 14 + 3x, x>1 a. Find f (1) b. Find lim f(x) X1 C. Is f(x) continuous? Why, or why not?
2. For the function f(x)= (2x² – 3, x>2 19-2x, x<2 find the limits or explain why they do not exist. (a) lim f(x) 1-2+ (b) lim f(x) (e) lim f(x) X2
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
Evaluate the piecewise defined function at the indicated values (x2 f(x) if x -1 6x if 1 < x s 1 = -1 if x > 1 f(-3) (- 3 2 f(-1) f(0) = f(30) =
Compute f(3) in the piecewise function f(x) = -1 <1 3.22 +2 121
Given the piecewise-defined function below, what is f(1)? fly 19-x² for x<3 1 x+3 for x 23 7 A. B. C. D. 4 8
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: