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 fo...
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
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...
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
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
3.) Graph the given piece-wise function by hand and find all discontinuities. For each discontinuity: (a) state which criteria of the definition it fails and (b) the type of discontinuity. (Be sure to analyze the following points: * =0, 1, 2, 3 and 4 (30-points) x < 0 3.x - 1. 2x |4x1 f(x) = 0<x<2 r = 2 2<x<3 3<x4 x>4 -2, -r.
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)
or each of the following, write a formula for the graphed function by using transformations of the graphs of one of the toolkit functions f(x) (2) 6 (Click on a graon to enlarge it) a. f(x) - b. 9(2)
8. [6 pts) Find a formula (possibly a piece-wise one) that defines a continuous function f on the interval |-1,2] such that I f(x) dx = " and " f(a) da = 2.
Help, please.
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 ue(t)=uſt - c) where ul 0 t<0 t>O and (iii) find the Laplace transform of f(t). (a) 1, 0<t<2 e-(-2), t> 2 s(t)= { (b) f(t) = t, 2, 7-t, 0, 0<t<2 2<t<5 5<t<7 t>7
4. Below is the graph of a transformed function of f(x) = x a. List the transformations (like shifted right 10, vertically stretched by a factor of 7, etc.) needed to transform f(x) into the graph below. b. Write the function for the graph below. g(x) =