2. Ken walks toward and then away from a wall. Is the graph of his distance from the wall a function of elapsed time? Why or why not? Answer the question using the definition of a function. Make a sketch of the graph. Label the axes. 3. Sketch the graph of a function that has each of the following: y= f(x) has a domain of all real numbers and range f(x)<0 y=g(x) has a domain x>0 and a range of all real numbers omulov y = k(x) has domain x E (-o, 00) and range У € [-1,1] y=h(x) has a domain of all real numbers and a range of {3}

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Ken walks toward and then away from a wall. Is the graph of his distance from the wall a function of
elapsed time? Why or why not? Answer the question using the definition of a function. Make a sketch
of the graph. Label the axes.
ov s
3. Sketch the graph of a function that has each of the following:
y= f(x) has a domain of all real numbers and
y=g(x) has a domain x > 0 and a range of all
range f(x)<0
real numbers
Vomulov ni snera
mo at
y = k(x) has domain x E (-o, 00) and range
y E [-1,1]
y=h(x) has a domain of all real numbers and a
range of {3}
4. Give the formula of a function that has each of the following domains. There are many possible
answers. You can just pick one.
(b) Domain x e (-00, 3) U (3, 0)
(a) Domain x E (-00, 00)
(c) Domain x e [5, 00)
Transcribed Image Text:2. Ken walks toward and then away from a wall. Is the graph of his distance from the wall a function of elapsed time? Why or why not? Answer the question using the definition of a function. Make a sketch of the graph. Label the axes. ov s 3. Sketch the graph of a function that has each of the following: y= f(x) has a domain of all real numbers and y=g(x) has a domain x > 0 and a range of all range f(x)<0 real numbers Vomulov ni snera mo at y = k(x) has domain x E (-o, 00) and range y E [-1,1] y=h(x) has a domain of all real numbers and a range of {3} 4. Give the formula of a function that has each of the following domains. There are many possible answers. You can just pick one. (b) Domain x e (-00, 3) U (3, 0) (a) Domain x E (-00, 00) (c) Domain x e [5, 00)
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