The figure shows the graph of f ( x ) = c 4 . In Exercises 35—16, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes, Use the graphs to determine each function’s domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. g ( x ) = e r − 1
The figure shows the graph of f ( x ) = c 4 . In Exercises 35—16, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes, Use the graphs to determine each function’s domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. g ( x ) = e r − 1
Solution Summary: The author analyzes how the graph of the function g(x)=ex+1 interprets the equation of its asymptotes and its domain and range.
. In Exercises 35—16, use transformations of this graph to graph each function. Be sure to give equations of the asymptotes, Use the graphs to determine each function’s domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs.
part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
2. The duration of the ride is 15 min.
(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris
wheel?
(b) What is the position of that passenger when the ride ends?
3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum
was at its resting position. The pendulum then moved right (positive displacement) and left (negative
displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its
resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents
the pendulum's displacement as a function of time.
Answer:
f(t)
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.
10
9
8
7
6
5
4
3
2
1
0
t
1
2
3
4
5
6
7
8
9 10
11
12
13 14
15
-1
-5.
-6
-7
-8
-9
-10-
Chapter 4 Solutions
Algebra & Trigonometry With Additional Material From College Algebra Essentials (custom Edition For Tidewater Community College)
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