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Problem 1 The function P(x) is given as a graph, Find the domain of P Find...
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write...
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
Use the graph of the function to find its domain and range. Write the domain and...
Use the graph of the function to find its domain and range.
Write the domain and range in interval
notation.
QUESTION 4 · 1 POINT Use the graph of the function to find its domain and range. Write the domain and range in interval notation. o 7 A - N -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 - 16 en o
3. The graph of a function f(x) is shown below: a) (2pts) Find the domain b)...
3. The graph of a function f(x) is shown below: a) (2pts) Find the domain b) (2pts) Find the range c) (2pts) Find f(0) d) (2pts) Minimum value f(x) e) (2pts) Find f(f(-4))
Find the domain and the range of the function. 4 f(x)=1-7x+ 5, for x < 7....
Find the domain and the range of the function. 4 f(x)=1-7x+ 5, for x < 7. for x 27 What is the domain of the given function? (Type your answer in interval notation.) What is the range of the graph of a function? (Type your answer in interval notation.) Enter your answer in each of the answer boxes
(6 pts) (11) Find the domain and range of the function (x) - 3 - 25...
(6 pts) (11) Find the domain and range of the function (x) - 3 - 25 - x (Hint: Graph it.) (4 pts) (12) Suppose that f(x) - (X-4 XS2 X > 2 Evaluate each of the following: (a) f(-5) (b) f(5) (8 pts) (13) If h(x) = 5x73, find h'(x). pts) (14) Find an equation of the parabola with vertex (5. --3) and which passes through the point (2.4)
The graph of a function y=f(x) is given below a) Find the domain and range b)...
The graph of a function y=f(x) is given below
a) Find the domain and range
b) Find the absolute maximum and the absolute minimum,
if they exist
c) Identity any local maximum or local minimum
values
a function y = f(x) is given below. 2 (0,2) (1.1) (5.0) 13 and range
11. Given the function f(x) = 2sin(x). (11 pts total) NG -21 -5 -4 1 -6...
11. Given the function f(x) = 2sin(x). (11 pts total) NG -21 -5 -4 1 -6 -3 -2 -1 Mće. @p1 (4 pts) a. Graph fon the axes above. How should the domain be restricted so that f is one-to-one? Write your answer using set-builder notation. (4 pts) b. Algebraically find the inverse function, f-1(x). Sketch the graph of f-1 on the axes above. Remember that the graphs off and f-1 are symmetric about the 45° line! (3 pts) C....
(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...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)= (-0,-5) U (-5,0) lim f(x)=–00, and lim f(x)=0 lim f(x) = 3 5 x-00 /'(x) >0 on (-00,-5) U (-5,0) / '(x) < 0on (0,0) /"(x) > 0 on (- 0,-5) /"(x) <0 on (-5,0) f(x) > 3 on (-0, -5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0) 8
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5) U (-5,00) lim S(x) = -, and lim f(x) = 0 lim f(x) = 3 S'(x) >0 on (-00,-5) U (-5,0) f'(x) <0 on (0,0) "(x) > 0 on (- , - 5) f"(x) <0 on (-5,00) f(x) > 3 on (-0,-5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0)
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
Use the graph of the function to find its domain and range.
Write the domain and range in interval
notation.
QUESTION 4 · 1 POINT Use the graph of the function to find its domain and range. Write the domain and range in interval notation. o 7 A - N -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 - 16 en o
3. The graph of a function f(x) is shown below: a) (2pts) Find the domain b) (2pts) Find the range c) (2pts) Find f(0) d) (2pts) Minimum value f(x) e) (2pts) Find f(f(-4))
Find the domain and the range of the function. 4 f(x)=1-7x+ 5, for x < 7. for x 27 What is the domain of the given function? (Type your answer in interval notation.) What is the range of the graph of a function? (Type your answer in interval notation.) Enter your answer in each of the answer boxes
(6 pts) (11) Find the domain and range of the function (x) - 3 - 25 - x (Hint: Graph it.) (4 pts) (12) Suppose that f(x) - (X-4 XS2 X > 2 Evaluate each of the following: (a) f(-5) (b) f(5) (8 pts) (13) If h(x) = 5x73, find h'(x). pts) (14) Find an equation of the parabola with vertex (5. --3) and which passes through the point (2.4)
The graph of a function y=f(x) is given below
a) Find the domain and range
b) Find the absolute maximum and the absolute minimum,
if they exist
c) Identity any local maximum or local minimum
values
a function y = f(x) is given below. 2 (0,2) (1.1) (5.0) 13 and range
11. Given the function f(x) = 2sin(x). (11 pts total) NG -21 -5 -4 1 -6 -3 -2 -1 Mće. @p1 (4 pts) a. Graph fon the axes above. How should the domain be restricted so that f is one-to-one? Write your answer using set-builder notation. (4 pts) b. Algebraically find the inverse function, f-1(x). Sketch the graph of f-1 on the axes above. Remember that the graphs off and f-1 are symmetric about the 45° line! (3 pts) C....
(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...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)= (-0,-5) U (-5,0) lim f(x)=–00, and lim f(x)=0 lim f(x) = 3 5 x-00 /'(x) >0 on (-00,-5) U (-5,0) / '(x) < 0on (0,0) /"(x) > 0 on (- 0,-5) /"(x) <0 on (-5,0) f(x) > 3 on (-0, -5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0) 8
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5) U (-5,00) lim S(x) = -, and lim f(x) = 0 lim f(x) = 3 S'(x) >0 on (-00,-5) U (-5,0) f'(x) <0 on (0,0) "(x) > 0 on (- , - 5) f"(x) <0 on (-5,00) f(x) > 3 on (-0,-5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0)
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