3.) Graph the given piece-wise function by hand and find all discontinuities. For each discontinuity: (a)...
Graph the following Piece-Wise Function according to the conditions given. 10) f(x) = {x2 {2x +1 ix<0 if x>0 主站 : : : : : : : , , , , , , HHHHHHHHHHHHH ... 15 , -10 . . ''' HHHHHHHHHHHHH→ '''' ... ... 10: ''.. 15.... 十十十十十十十十十
2. Graph the following piece-wise function: Tetologa) 90W WOH {3 if x < -1 f(x) = { x + 2 if -1 <x<2 {-5 if x > 2
1\x+21, x<0 -Sketch the graph of this piece-wise defined function: S(x) = {3 05x<2 1(x+1), x22
1. In each of the following piece-wise functions: (i) Sketch the graph of the given function, (ii) Express f(t) in terms of the unit step function uc(t) = u(t -c) where 0 u(t) = t<0 t> 0 and (iii) find the Laplace transform of f(t). (a) $(t) = { 2=(1-2), 0<t<2 t> 2 (b) f(t) = t, 2, 7-t, 0, 0<t <2 2 <t<5 5<t<7 t> 7
The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single shifts, scalings, or reflections) transformations of f(x). If it is, write a formula for the graph in terms of f. Otherwise, explain why it is not The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single...
Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. does (b) lim, f(x) (c) f(O) (d) ly/(x) 2-1+1 2 3 4 5 (e) f(2) (f) lim f(x) (g) f(4) im Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. does (b) lim, f(x) (c) f(O) (d) ly/(x) 2-1+1 2 3 4 5 (e) f(2) (f) lim...
Draw the graph of a function f on [0, 4) with the given property: Jump discontinuity at x = 2 and satisfies the conclusion of the IVT on (0, 4]
Sketch a graph of a function f(x) that satisfies each of these conditions. f (x) has a jump discontinuity at x = -3, and a displaced point at x = -1 f (x) is continuous on lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o
Problem 3: Let X = amount of weight-loss over a one week-period. Use the following piece-wise continuous par function to answer the questions. 5* 0<x<1 f(x) = { - 15x2 5 - 2x 2<x< 2.5 10 else a. Find F(x) (think about what should be true about a CDF as you work this problem) (4 points) b. Find E(x) (3 points)
1. Given the piece-wise function, 3x if x < 0 f(x)=x+1 if 0 < x 52 :- 2)2 if x>2 Evaluate f (__); f(0); f (); f(5)