You can use MATLAB to solve problems (where appropriate).
Q.2 Is the function even, odd, or neither? a) The function is even function. b) The function is odd function c) The function is neither even nor odd function Q.3 Determine the inverse function of function y x*. a) The inverse function is x=t5/y b) The inverse function is x/y . = c) The inverse funetion is x-4/y d) The function does not have inverse function form Q.4 Is the inverse function of function y =x4, single-valued, multi-valued, or neither? a) The inverse function is single valued b) The inverse function is multi-valued c) Neither Q.5 Is the inverse function of function y = x4 even, odd, or neither? a) The inverse function is even function b) The inverse function is odd function c) The inverse function is neither even nor odd function
Homework Answers
1 - The function is multi-valued because at x = -1 and x = 1 we get same value of y.
2 - The function is even function. f(-x) = f(x)
3 - Option (d) For a function to be invertible it must be one one or single valued.
4 - Neither ( Inverse doesn't exists )
5 - Neither (Inverse doesn't exists)
Add Answer to:
You can use MATLAB to solve problems (where appropriate). Problem 1 Consider function y = x4...
Question 1 The graph of x4 - y = 1 is not symmetric with respect to...
Question 1 The graph of x4 - y = 1 is not symmetric with respect to which of the following graph? o Origin V-axis X-axis O y = x O Question 2 Determine if f(x)= 4x3 - 2x is even, odd, or neither? Insufficient Information Neither Even Odd Question 3 Given that f(x) is one-to-one, and f(1) = 2. f(2)=5. f(5)= 0, and f(0) = 1. Determine (f-lof-1)(0). 5 O 0 2 1
Use possible symmetry of the graph to determine whether it is the graph of an even...
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...
IN MATLAB: Consider the function c(x)=x4−5x2+4. Find the zeros of the function, then print the results...
IN MATLAB:
Consider the function c(x)=x4−5x2+4. Find the zeros of the
function, then print the results to the Command Window.
Suggestion: You may find it helpful to plot the
graph first to get a feel for where the zeros exist; there are
exactly 4 zeros for this function.
Consider a discrete-time system that is linear (but not necessarily time-invariant), and where: - if the...
Consider a discrete-time system that is linear (but not necessarily time-invariant), and where: - if the input x[n] is even, then the output is y[n]= x[n-1] - if the input x[n] is odd, then the output y[n]= x [n=1] Find the ouput of this system if the inpus is (a) δ [n] (b) u[n]. (Do not use la place transform) Hint: if a signal is neither even nor odd, then you can write it as a sum of an even...
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the...
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the exponential Fourier series representation f(t) = Σ Dnejuont . where wo 2T/To and 1. (2 points) When f(t) is a real-valued, show that DD This is known as the complex conjugate symmetry property or the Hermitian property of real signals. 2. (2 points) Show that when f(t) is an even function of time that Dn is an even function of n 3. (2 points)...
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...
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...
Consider a real-valued function u(x, y), where x and y are real variables. For each way...
Consider a real-valued function u(x, y), where x and y are real variables. For each way of defining u(x, y) below, determine whether there exists a real-valued function v(x, y) such that f(z) = u(x, y) + iv(x, y) is a function analytic in some domain D C C. If such a v(x, y) exists, find one such and determine the domain of analyticity D for f(z). If such a v(x, y) does not exist, prove that it does not...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
5. Use the graph below to determine: a the intervals on which the function is increasing,...
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)...
In this section we have seen how more complicated functions can be built up from func-...
In this section we have seen how more complicated functions can be built up from func- tions y = f(x) of the type given in Figure 2.2.1 by transformations. In some texts the beginning, or simpler, function is called the parent function. In Example 5 the square root function f(x) = Vx is the parent function for y = 2 - 2Vx - 3. e modo selected odd-numbered problems begin on page ANS-3. In Problems 1-10, determine whether the given...
Question 1 The graph of x4 - y = 1 is not symmetric with respect to which of the following graph? o Origin V-axis X-axis O y = x O Question 2 Determine if f(x)= 4x3 - 2x is even, odd, or neither? Insufficient Information Neither Even Odd Question 3 Given that f(x) is one-to-one, and f(1) = 2. f(2)=5. f(5)= 0, and f(0) = 1. Determine (f-lof-1)(0). 5 O 0 2 1
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...
IN MATLAB:
Consider the function c(x)=x4−5x2+4. Find the zeros of the
function, then print the results to the Command Window.
Suggestion: You may find it helpful to plot the
graph first to get a feel for where the zeros exist; there are
exactly 4 zeros for this function.
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the exponential Fourier series representation f(t) = Σ Dnejuont . where wo 2T/To and 1. (2 points) When f(t) is a real-valued, show that DD This is known as the complex conjugate symmetry property or the Hermitian property of real signals. 2. (2 points) Show that when f(t) is an even function of time that Dn is an even function of n 3. (2 points)...
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...
Consider a real-valued function u(x, y), where x and y are real variables. For each way of defining u(x, y) below, determine whether there exists a real-valued function v(x, y) such that f(z) = u(x, y) + iv(x, y) is a function analytic in some domain D C C. If such a v(x, y) exists, find one such and determine the domain of analyticity D for f(z). If such a v(x, y) does not exist, prove that it does not...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
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)...
In this section we have seen how more complicated functions can be built up from func- tions y = f(x) of the type given in Figure 2.2.1 by transformations. In some texts the beginning, or simpler, function is called the parent function. In Example 5 the square root function f(x) = Vx is the parent function for y = 2 - 2Vx - 3. e modo selected odd-numbered problems begin on page ANS-3. In Problems 1-10, determine whether the given...
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