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3) Sketch the graph of the following rational functions. 2 a. f(x) = + +5r+6 x...
32 , 42 332 CHAPTER 4 Polynomial Functions and Rational Functions 56.7x2 + 4x In Exercises...
32 , 42
332 CHAPTER 4 Polynomial Functions and Rational Functions 56.7x2 + 4x In Exercises 5 g(x) 57. What are 58. What is th 59. Given an inputs. 60. Movie Tic movie tic years, risi (Source: ers). Usin function, Let xrерr Then use price of a Using synthetic division, determine whether the numbers are zeros of the polynomial function. 31. -3,2; f(x) = 3x + 5x2 - 6x + 18 (32. -4,2; f(x) = 3x + 11x? - 2x...
1: Solve the following inequalities and express your answer in interval notation. (10 points) x? -...
1: Solve the following inequalities and express your answer in interval notation. (10 points) x? - 5x-620 Solution 1: 2: Solve the absolute value inequality; 3 - 2x > 9. Write the solution in interval notation. (10 points) Solution 2: (5 points each) 3: For the following function, 3x + 4 f(x)= x+2 3.1: State the domain of the function, Solution 3.1: 3.2: Find x- and y-intercepts (if any), Solution 3.2: 4: Given f(x)=x+5x+2, evaluate the following expression: f(x+h)-f(x) +0....
Solve the inequality f(x) <0, where f(x) = - x2(x + 4), by using the graph...
Solve the inequality f(x) <0, where f(x) = - x2(x + 4), by using the graph of the The solution set for f(x) <0 is. (Type your answer in interval notation.) function. Ay 4- 2- х 500 -8 -6 -4 -2 2 4. 6 -8- -104 -12-
sketch a graph of the given functions f(x)=(x-3)^2 f(x)=-x^3 f(x)=4|x-2|-6 please explain
sketch a graph of the given functions f(x)=(x-3)^2 f(x)=-x^3 f(x)=4|x-2|-6 please explain
Given, f(x) = {x #1, 2 5x<4 4,0<x< 2 (a) Sketch the graph of f(x) and...
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)
answer all with clear handwriting please. 2. (4 points) Let f(x) = x - 9x -...
answer all with clear handwriting please.
2. (4 points) Let f(x) = x - 9x - 36x”. Find the zeros of the function algehraically (by factoring). and give the exact multiplicity for each zero (not just odd/even). State the behavior of the graph at each zero (whether the graph crosses the x-axts or touches the x-axts and turns around at each zero). Zero Multiplicity Behavior 3. (4 points) Solve the following inequality and graph the solution set on a Real...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x D...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Suppose that the functions f and g are defined as follows. f(x)=-4x+5 g(x) = 2x+1 Find...
Suppose that the functions f and g are defined as follows. f(x)=-4x+5 g(x) = 2x+1 Find f-g and . Then, give their domains using interval notation. 0 0 (-8)(x) = 0 0 .6 (0,0) [0,0] Domain off-g: 0 OVO (0,0] [0,0) Ø 00 -00 ()(w) = 0 5 ? Domain of I bo
= Composition of two rational functions 2 x+3 For the functions f6)- find the composition fog...
= Composition of two rational functions 2 x+3 For the functions f6)- find the composition fog and simplify your answer as much as possible. Write the domain using interval notation and g(x) = 8 - 0/6 16 • 2)(x) = 0 Dla (0) (0) DUO (0) (0,0) Domain offt: 0 00 X 5 ?
32 , 42
332 CHAPTER 4 Polynomial Functions and Rational Functions 56.7x2 + 4x In Exercises 5 g(x) 57. What are 58. What is th 59. Given an inputs. 60. Movie Tic movie tic years, risi (Source: ers). Usin function, Let xrерr Then use price of a Using synthetic division, determine whether the numbers are zeros of the polynomial function. 31. -3,2; f(x) = 3x + 5x2 - 6x + 18 (32. -4,2; f(x) = 3x + 11x? - 2x...
1: Solve the following inequalities and express your answer in interval notation. (10 points) x? - 5x-620 Solution 1: 2: Solve the absolute value inequality; 3 - 2x > 9. Write the solution in interval notation. (10 points) Solution 2: (5 points each) 3: For the following function, 3x + 4 f(x)= x+2 3.1: State the domain of the function, Solution 3.1: 3.2: Find x- and y-intercepts (if any), Solution 3.2: 4: Given f(x)=x+5x+2, evaluate the following expression: f(x+h)-f(x) +0....
Solve the inequality f(x) <0, where f(x) = - x2(x + 4), by using the graph of the The solution set for f(x) <0 is. (Type your answer in interval notation.) function. Ay 4- 2- х 500 -8 -6 -4 -2 2 4. 6 -8- -104 -12-
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)
answer all with clear handwriting please.
2. (4 points) Let f(x) = x - 9x - 36x”. Find the zeros of the function algehraically (by factoring). and give the exact multiplicity for each zero (not just odd/even). State the behavior of the graph at each zero (whether the graph crosses the x-axts or touches the x-axts and turns around at each zero). Zero Multiplicity Behavior 3. (4 points) Solve the following inequality and graph the solution set on a Real...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Suppose that the functions f and g are defined as follows. f(x)=-4x+5 g(x) = 2x+1 Find f-g and . Then, give their domains using interval notation. 0 0 (-8)(x) = 0 0 .6 (0,0) [0,0] Domain off-g: 0 OVO (0,0] [0,0) Ø 00 -00 ()(w) = 0 5 ? Domain of I bo
= Composition of two rational functions 2 x+3 For the functions f6)- find the composition fog and simplify your answer as much as possible. Write the domain using interval notation and g(x) = 8 - 0/6 16 • 2)(x) = 0 Dla (0) (0) DUO (0) (0,0) Domain offt: 0 00 X 5 ?
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