1\x+21, x<0 -Sketch the graph of this piece-wise defined function: S(x) = {3 05x<2 1(x+1), x22
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
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. 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)
The function shown below is described by: f(x) 1 when 0sx<1 0 f(x)-when 1sx<2 X 3 f(x) 0 when x22 Sketch a graph of the function: Ix)()dt
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
A periodic function f(x) with period 21 is defined by: X + -1<x< 0 2 f(x) = 0<x< 2 Determine the Fourier expansion of the periodic function f(x). X - TT
1 Define the concept of functions 2. Consider the function f(x)=x-x+S. (2) f(0) (1) 3. Consider the function f(x) 3r-4 1-1, <2 x22 (2) (0) (1)
x, 05x<1 if f(x) = {k, 15x<2 where K-3 and F(s) = {{f(x)}, then the value of F(2) rounded to three decimal places is ex X22
01 Given, f(x) = 4,05x<2 x + 1, 2 S x<4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks)
Given, f(x) = {x #1, 2 5x<4 4,0<x< 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Ql(a). (10 marks)