Problem 3- How the Base Affects the Graph of an Exponential Function: The graphs off(x) = 2x, g(x) = 3 and h(x) = 10.3 are given below. а. What characteristics are the same? 10.3x 3 2 What characteristics are different? -3 How does the base of the exponential affect the graph? р. 3- Problem 2-Penicillin: One of the most famous antibiotic drugs is penicillin. Penicillin gradually breaks down in the blood over time. The table below shows the amount of penicillin (measured in mg) remaining in a initial injection. patient's bloodstream as a function of time (in hours) since the Amount of penicillin remaining (mg) # of hours What is the y-intercept? What does it represent in this context? a. since injection 500 0 Inx 300 1 ?EאICI LLIא 180 2 tou wiN d 8 s 108 3 64.8 4 Is the relations hip linear or exponential? How do you know? b. The relation ship is exponential because it ncveases by c. Write the explicit equation. Use your explicit equation to determine the amount of penicillin remaining in the patient's bloodstream after 10 hours. d. When will there be less than 25 mg of penicillin remaining in the bloodstream? Round to one decimal place. e. P. 28

Calculus: Early Transcendentals
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Author:James Stewart
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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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Problem 3- How the Base Affects the Graph of an Exponential Function:
The graphs off(x) = 2x, g(x) = 3 and h(x) = 10.3 are given below.
а.
What characteristics are the same?
10.3x 3 2
What characteristics are different?
-3
How does the base of the exponential affect the graph?
р. 3-
Transcribed Image Text:Problem 3- How the Base Affects the Graph of an Exponential Function: The graphs off(x) = 2x, g(x) = 3 and h(x) = 10.3 are given below. а. What characteristics are the same? 10.3x 3 2 What characteristics are different? -3 How does the base of the exponential affect the graph? р. 3-
Problem 2-Penicillin: One of the most famous antibiotic drugs is penicillin. Penicillin
gradually breaks down in the blood over time. The table below shows the amount of penicillin
(measured in mg) remaining in a
initial injection.
patient's bloodstream as a function of time (in hours) since the
Amount of penicillin
remaining (mg)
# of hours
What is the y-intercept? What
does it represent in this context?
a.
since injection
500
0
Inx
300
1
?EאICI LLIא
180
2
tou wiN
d 8 s
108
3
64.8
4
Is the relations hip linear or exponential? How do you know?
b.
The relation ship is exponential because it ncveases
by
c. Write the explicit equation.
Use your explicit equation to determine the amount of penicillin remaining in the patient's
bloodstream after 10 hours.
d.
When will there be less than 25 mg of penicillin remaining in the bloodstream? Round to one
decimal place.
e.
P. 28
Transcribed Image Text:Problem 2-Penicillin: One of the most famous antibiotic drugs is penicillin. Penicillin gradually breaks down in the blood over time. The table below shows the amount of penicillin (measured in mg) remaining in a initial injection. patient's bloodstream as a function of time (in hours) since the Amount of penicillin remaining (mg) # of hours What is the y-intercept? What does it represent in this context? a. since injection 500 0 Inx 300 1 ?EאICI LLIא 180 2 tou wiN d 8 s 108 3 64.8 4 Is the relations hip linear or exponential? How do you know? b. The relation ship is exponential because it ncveases by c. Write the explicit equation. Use your explicit equation to determine the amount of penicillin remaining in the patient's bloodstream after 10 hours. d. When will there be less than 25 mg of penicillin remaining in the bloodstream? Round to one decimal place. e. P. 28
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