Four functions are given below. Either the function is defined explicitly, or the entire graph of...
Discuss the symmetry of the graph of the function, and determine whether the function is even, odd, or neither f(x) = 4x + 4x® This graph is A. symmetric about the y-axis. OB. not symmetric about either. OC. symmetric about the x-axis. -10 10 This function is O A odd. 10 OB. even O c. neither
Discuss the symmetry of the graph of the function, and determine whether the function is even, odd, or neither. f(x) = 4x + 4x6 LY X 10 10 This graph is O A. symmetric about the y-axis. B. not symmetric about either. O C. symmetric about the x-axis. -16 This function is O A. odd. O B. even. C. neither
Using the given graph of the function t, find whether the function is even, odd, or neither O Even O Odd O Neither 2 1) Click to select your answer 0
(a) Determine algebraically whether the functions below are even, odd or neither. i. r+6 f(x)=- r-r? (2 marks) ii. f(x) = 2x sinx (2 marks) (b) A periodic function is defined by: f(x) = 4-x?, -25x52, f(x+4)= f(x) i. Sketch the graph of the function over -10<x<10. (4 marks) ii. Based on result in (i), identify whether the function is even or odd. Give your reason. (2 marks) ii. Calculate the Fourier series expansion of f(x). (12 marks) (c) An...
Use possible symmetry of the graph to determine whether it is the graph of an even function, an odd function, or a function that is neither even nor odd. -5-4-3-2/14 1 2 3 4 2 13- bu O The function is even. O The function is odd. O The function is neither even nor odd. AY Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any, and...
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:
Using the given graph of the function f, find whether the function is even, odd, or neither. Ay @ (-3,3) (33) 3- (0,1) Х -3 (-2,0) (10) 3 -2-
9. (4pts) Consider the linear functions f(x) 6-x+3(x-4) and g (x)-3(x+)-5(+1). Solve f(x) g() algebraically, showing all steps. (You may also check graphically) 10. 4pts) Test algebraically whether the function f(x)-4x- is even, odd, or neither even nor odd. Show your work. (You may also check your results graphically.) 11. (4pts) Determine whether the graph of y =-x' + 4x is symmetric with respect to the x-axis, the y-axis, and/or the origin. Use your graphing calculator make a sketch below...
5. Use the graph below to determine: a the intervals on which the function is increasing, if any b. the intervals on which the function is decreasing, if any c the intervals on which the function is constant, if any -4-3-2-11 1 234 -3 Examine the graph below, use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function that is neither even nor odd. 6. -1,3) 10.2) (0, 2)...
1. Determine whether the function f(x) = (x2 - 1) sin 5x is even, odd, or neither. A. Even B. Odd C. Neither 2. a). Find the Fourier sine series of the function f(x) shown below. b). Sketch the extended function f(x) that includes its two periodic extensions. TT/2 TT Formula to use: The sine series is f(x) = 6 sin NIT P where b. - EL " (x) sin " xd