Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) =...
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:
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) =
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) =
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
Compute the right-hand and left-hand derivatives as limits and check whether the function is differentiable at the point P. What is the right-hand derivative of the given function? f(4 +h)-f(4) lim h =17 no (Type an integer or a simplified fraction.) What is the left-hand derivative of the given function? y=(x-4)2 - 4 lim f(4 + h) – f(4) . n0 (Type an integer or a simplified fraction.) Is the given function differentiable at the point P? P(4,-4) Yes Νο...
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...
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) =
[ 10 pts.] 9. Use the alternative limit definition of derivative to determine whether the function 8sinh(x/2) ifx<2 f(x)= is differentiable or not differentiable at 2x²+x-1 if x2 x=c=2 Show all work !!!
f(40) f(-3/2) f(-1) f(0) f(-3) Evaluate the piecewise defined function at the indicated values. if xs-1 if -1 <S1 x2 + 2x
Can you find a differentiable function f(x) defined on the interval [0, 3] such that , and for all x ∈ [0, 3]? Justify your answer (do not write only Yes or No, but explain your answer). We were unable to transcribe this imageWe were unable to transcribe this imagef'(x) <1