69. Draw graphs of each of these functions. a) f(x) = (x + ] c) ƒ(x) = [x/3]| e) f(x) = [x − 21 + (x+2) 1) f(x) = [2x][x/2] b) f(x) = 2x+1] d) ƒ(x) = [1/x] g) f(x) = [lx-J+1
69. Draw graphs of each of these functions. a) f(x) = (x + ] c) ƒ(x) = [x/3]| e) f(x) = [x − 21 + (x+2) 1) f(x) = [2x][x/2] b) f(x) = 2x+1] d) ƒ(x) = [1/x] g) f(x) = [lx-J+1
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
Related questions
Question
Can anyone please help me with question 69 a,b,c,d,e, and f? I am stuck on it!
![R to R.
69. Draw graphs of each of these functions.
a) f(x) = (x + =]
c) f(x) = [x/3]
e) f(x) = (x-2] + (x+2)
f) f(x) = [2x][x/2]
b) f(x) = [2x+¹]
d) ƒ(x) = [1/x]
g) f(x) = [[x+1
70. Draw graphs of each of these functions.
a) f(x) = 3x - 2]
c) ƒ(x) = [−1/x]
e) f(x) = x/21 (x/2),
g) f(x) = [2 [x/2] + J
b) f(x) = [0,2x]
d) f(x) = x²]
f) f(x) = x/2] + [x/2]
71. Find the inverse function of f(x) = x + 1.
72. Suppose that ƒ is an invertible function from Y to Z and
is an invertible function from X to Y. Show that the
inverse of the composition fog is given by (fog)-¹
g](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99d15f92-0bff-4b4d-a47e-2ac33d144271%2F6f10f6a6-18ab-470a-be8c-437dadacde21%2Fvajp46_processed.jpeg&w=3840&q=75)
Transcribed Image Text:R to R.
69. Draw graphs of each of these functions.
a) f(x) = (x + =]
c) f(x) = [x/3]
e) f(x) = (x-2] + (x+2)
f) f(x) = [2x][x/2]
b) f(x) = [2x+¹]
d) ƒ(x) = [1/x]
g) f(x) = [[x+1
70. Draw graphs of each of these functions.
a) f(x) = 3x - 2]
c) ƒ(x) = [−1/x]
e) f(x) = x/21 (x/2),
g) f(x) = [2 [x/2] + J
b) f(x) = [0,2x]
d) f(x) = x²]
f) f(x) = x/2] + [x/2]
71. Find the inverse function of f(x) = x + 1.
72. Suppose that ƒ is an invertible function from Y to Z and
is an invertible function from X to Y. Show that the
inverse of the composition fog is given by (fog)-¹
g
![68. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
69. Draw graphs of each of these functions.
a) f(x) = (x + ]
b) f(x) = (2x+1]
d) ƒ(x) = [1/x]
c) f(x) = [x/3]
e) f(x) = x-2] + (x+2)
I) f(x) = |2r||x/2]
g) f(x) = [[x] + 1
70. Draw graphs of each of these functions.
a) f(x)= [3x-21
c) ƒ(x) = [−1/x]
e) ƒ(x) = [x/2][x/2]
g) f(x) = [2 [x/2] + J
b) ƒ(x) = [0,2x]
d) f(x) = x²]
f) /(x) = [x/2] + [x/2]
71. Find the inverse function of f(x) = x²³ + 1.
72. Suppose that ƒ is an invertible function from Y to Z and
g is an invertible function from X to Y. Show that the
inverse of the composition fog is given by (fog)' =
g¯¹of-¹.
73. Let S be a subset of a universal set U. The character-
mm // to the set
80](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99d15f92-0bff-4b4d-a47e-2ac33d144271%2F6f10f6a6-18ab-470a-be8c-437dadacde21%2Ftajemin_processed.jpeg&w=3840&q=75)
Transcribed Image Text:68. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
69. Draw graphs of each of these functions.
a) f(x) = (x + ]
b) f(x) = (2x+1]
d) ƒ(x) = [1/x]
c) f(x) = [x/3]
e) f(x) = x-2] + (x+2)
I) f(x) = |2r||x/2]
g) f(x) = [[x] + 1
70. Draw graphs of each of these functions.
a) f(x)= [3x-21
c) ƒ(x) = [−1/x]
e) ƒ(x) = [x/2][x/2]
g) f(x) = [2 [x/2] + J
b) ƒ(x) = [0,2x]
d) f(x) = x²]
f) /(x) = [x/2] + [x/2]
71. Find the inverse function of f(x) = x²³ + 1.
72. Suppose that ƒ is an invertible function from Y to Z and
g is an invertible function from X to Y. Show that the
inverse of the composition fog is given by (fog)' =
g¯¹of-¹.
73. Let S be a subset of a universal set U. The character-
mm // to the set
80
Expert Solution
Step 1
Note : As per our guidelines we are supposed to answer only one question if there are multiple questions asked.please repost the other questions.
To graph the given function find function values corresponding to some points and plot the points in coordinate plane and join them.
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