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17. Given the function f(x) = ? answer the following questions: [4 Points] x+1 (a) What...
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x +...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
5. Let f R2 ->R2 be the function given by f(x, y) (х + у, х...
5. Let f R2 ->R2 be the function given by f(x, y) (х + у, х — у). (i) Prove that f is linear as a function from R2 to R2. (ii) Calculatee the matrix of f. (iii) Prove that f is a one-to-one function whose range is R2. Deduce that f has an inverse function and calculate it. (iv) If C is the square in R2 given by C = [0,1] x [0, 1], find the set f(C), illustrating...
Determine whether the table could represent a function that is linear, exponential, or neither. X 12...
Determine whether the table could represent a function that is linear, exponential, or neither. X 12 f(x) 80 -20 -70 linear O exponential neither If it appears to be exponential, find the exponential function that passes through the points. (If an answer does not exist, enter DNE.) f(x) = 100*0.87–1 An exponential function changes by a constant percentage rate. This means that for evenly spaced data, each successive function value is a constant multiple of the preceding value. If the...
1. State the domain of each function below (2.5 points each) Function f(x) = x2 f(x)...
1. State the domain of each function below (2.5 points each) Function f(x) = x2 f(x) = Domain f(x) = 1 f(ax)1 where b>0. State two facts that are true for ALL such functions regardless of the value of b. (10 points) 2. Consider the exponential function of the form f(x) Fact 1: Fact 2
answer all please! 1) Property of inverse functions If f(x): (-1,4 ] → [3,7) → this...
answer all please!
1) Property of inverse functions If f(x): (-1,4 ] → [3,7) → this means f(x) is a function with domain (-1,4 ) and range (3,7] And f(x) is known to have an inverse function; f(x) Find the domain and range of f(x) f-1(x): HINT: x by y's 2. Inverse functions of well known functions – find the inverse function-use proper notation - an inverse function is not a single sided express if f(x) =x, the inverse function...
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a....
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain. OA. 9 The set of all points in the xy-plane that satisfy...
1. Given the data table with f(x) = yn for a unkown function f, determine the...
1. Given the data table with f(x) = yn for a unkown function f, determine the cubic spline interpolation that intersects with the 3 data points. No need to solve for the coefficients. Just set up the eight equations. 1.1 3.5 1.2 3.7 1.3 2.9 2. The fixed point iteration can be used to find the solution of a function f(r) = 0. To use this method, we need to first identify g(x) such that the solution of g(x) =...
Select the correct answer. What is the inverse of function f? 3 – I 7 OA....
Select the correct answer. What is the inverse of function f? 3 – I 7 OA. -1(x) = 3 – 7x OB. +(x) = 3 - OC -1(1) = ? OD. 7-1(x) = 74 – 3 7+ I 3 3 Select the correct answer. Find the inverse of function f. f(x) = 12 +7 IN A f(x) = 2x + 3 OB. F'(x) = 2x - 7 OC. (n) = 2x – 14 OD. F'(x) = r - 7 Type...
Recall: For a function y = f(x), the critical points are (c,f(c)) for all c for...
Recall: For a function y = f(x), the critical points are (c,f(c)) for all c for which f,(c) = 0 Each such point is a relative maximum if f"(c) < 0 and a relative minimum if f"(c) > 0 For the following functions, find all critical points and determine if they are relative minimum or maximum, if possible. y-x2-4x 1 y=x3-6x2 + 9x-2 (4 У х Recall: For a function y-(x), the inflection points are (d.f(d)) for all c for...
(20pts) 1. For this problem, answer the following questions. (a) State the domain and range of...
(20pts) 1. For this problem, answer the following questions. (a) State the domain and range of the following function f(x) = -55:<2 1, 2sr35 (i) Domain (ii) Range = (b) Evaluate (1)f(-3) = (ii) f(2)= (iii) (4) = (c) Given the followig augumented matrix write a system of equations it represents. Assume the variables are r. v. Do not solve. (d) What is the solution for the system of equations equivalent to the following reduces augmented matrix? Assume the variables...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
5. Let f R2 ->R2 be the function given by f(x, y) (х + у, х — у). (i) Prove that f is linear as a function from R2 to R2. (ii) Calculatee the matrix of f. (iii) Prove that f is a one-to-one function whose range is R2. Deduce that f has an inverse function and calculate it. (iv) If C is the square in R2 given by C = [0,1] x [0, 1], find the set f(C), illustrating...
Determine whether the table could represent a function that is linear, exponential, or neither. X 12 f(x) 80 -20 -70 linear O exponential neither If it appears to be exponential, find the exponential function that passes through the points. (If an answer does not exist, enter DNE.) f(x) = 100*0.87–1 An exponential function changes by a constant percentage rate. This means that for evenly spaced data, each successive function value is a constant multiple of the preceding value. If the...
1. State the domain of each function below (2.5 points each) Function f(x) = x2 f(x) = Domain f(x) = 1 f(ax)1 where b>0. State two facts that are true for ALL such functions regardless of the value of b. (10 points) 2. Consider the exponential function of the form f(x) Fact 1: Fact 2
answer all please!
1) Property of inverse functions If f(x): (-1,4 ] → [3,7) → this means f(x) is a function with domain (-1,4 ) and range (3,7] And f(x) is known to have an inverse function; f(x) Find the domain and range of f(x) f-1(x): HINT: x by y's 2. Inverse functions of well known functions – find the inverse function-use proper notation - an inverse function is not a single sided express if f(x) =x, the inverse function...
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain. OA. 9 The set of all points in the xy-plane that satisfy...
1. Given the data table with f(x) = yn for a unkown function f, determine the cubic spline interpolation that intersects with the 3 data points. No need to solve for the coefficients. Just set up the eight equations. 1.1 3.5 1.2 3.7 1.3 2.9 2. The fixed point iteration can be used to find the solution of a function f(r) = 0. To use this method, we need to first identify g(x) such that the solution of g(x) =...
Select the correct answer. What is the inverse of function f? 3 – I 7 OA. -1(x) = 3 – 7x OB. +(x) = 3 - OC -1(1) = ? OD. 7-1(x) = 74 – 3 7+ I 3 3 Select the correct answer. Find the inverse of function f. f(x) = 12 +7 IN A f(x) = 2x + 3 OB. F'(x) = 2x - 7 OC. (n) = 2x – 14 OD. F'(x) = r - 7 Type...
Recall: For a function y = f(x), the critical points are (c,f(c)) for all c for which f,(c) = 0 Each such point is a relative maximum if f"(c) < 0 and a relative minimum if f"(c) > 0 For the following functions, find all critical points and determine if they are relative minimum or maximum, if possible. y-x2-4x 1 y=x3-6x2 + 9x-2 (4 У х Recall: For a function y-(x), the inflection points are (d.f(d)) for all c for...
(20pts) 1. For this problem, answer the following questions. (a) State the domain and range of the following function f(x) = -55:<2 1, 2sr35 (i) Domain (ii) Range = (b) Evaluate (1)f(-3) = (ii) f(2)= (iii) (4) = (c) Given the followig augumented matrix write a system of equations it represents. Assume the variables are r. v. Do not solve. (d) What is the solution for the system of equations equivalent to the following reduces augmented matrix? Assume the variables...
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