A weight of 12 ounces str

Name______________________________________________________ Unit 2 Quiz 2 Review
Homework
Algebra
#1-4: A weight of 12 ounces stretches a spring 4 inches.
A weight of 21 ounces stretches the same spring 7 inches.
1. How many inches does the spring stretch
per ounce of additional weight?
3. How much will the spring stretch for a
weight of 8 ounces?
2. Write an equation to describe the
relationship between the distance d that
the spring stretches and the weight w that
is attached to it.
4. The spring is stretched 35 inches. How
many ounces is the weight that is attached
to it?
#5-7: The graph below represents a radioactive decay situation.
5. What is the original amount of the radioactive
substance? Explain how you know.
6. What are the reasonable domain and range?
7. Identify the absolute maximum and absolute minimum values of the function.
What do these values represent?
#8-9: Janice has a bar of chocolate whose area is 24 square inches. She cuts the
bar in half & eats one of the pieces. She repeats this procedure several times.
8. Complete the table below to show the area of
the remaining piece of chocolate after x cuts.
Number of
Cuts, x
Area of Remaining
Piece, y
0
24
1
2
3
4
9. If you were to graph the points from
the table would you connect the points?
Explain.
()
#10-12: Identify the transformation from the graph of f x = x 6
()
to the graph of g x .
()
10. g x = x 6 − 3
() (
11. g x = x − 8
)
6
() (
12. g x = x + 7
)
6
#13-14: Write the equation of the function described by each of the following
transformations of the graph of f x = x 2 .
()
13. Translated 9 units left
14. Translated 4 units down
15. The graph of f x = 2x is translated right 7 16. The graph of which function is a
translation of the graph of f x = 2x three
units to create the graph of g x . Which
units down?
of the following is the equation for g x ?
a. g x = 2x + 3
a. g x = 2x − 7
b. g x = 2x +3
x
b. g x = 2 + 7
c. g x = 2x −3
x +7
c. g x = 2
d. g x = 2x − 3
d. g x = 2x −7
()
()
()
()
(
(
(
(
(
(
(
(
)
)
)
)
)
)
)
)
()
17. Caitlin drew the graph of f x = x 3 . Then she translated the graph 8 units down to get
()
( ) 3 units up to get the graph of
the graph of g x . Next, she translated the graph of g x
()
()
h x . Which of these is an equation for h x ?
()
h (x ) = x
h (x ) = x
h (x ) = x
a. h x = x 3 − 11
b.
c.
d.
3
+5
3
+3
3
−5
#18-24: While on vacation, Kevin and Shane decided to go for a bike ride. The
graph describes the elevations of each point along their ride in terms of the time
since they began their ride.
()
18. The graph represents a function E t .
Describe why the graph represents a function.
Identify the domain and range of the function.
19. Is this discrete or continuous data? Explain.
20. What is the y-intercept? Interpret the meaning of the y-intercept in the context of the
problem.
21. Identify a relative maximum of the function 23. Identify a relative minimum of the function
represented by the graph?
represented by the graph.
22. What is the absolute maximum of the
function represented by the graph? What
does it represent?
24. What is the absolute minimum of the
function represented by the graph? What
does it represent?
#25-30: While on their bike ride, Kevin and Shane rode at an average speed of
about 15 miles per hour.
25. Complete the table below to show the
distance ridden by a person whose
constant speed is 15 miles per hour.
Time
(hours)
Distance
(miles)
0
0
1
15
()
26. Write a function f x to describe the data
in the table. What are the reasonable
domain and range?
2
3
4
5
27. Create a graph of the function.
28. How long will it take this person to ride
100 miles? Justify your answer.
29. On the same coordinate grid that you used 30. Write a function to describe the graph you
in #27 create a graph of another function
created in #29. Explain how you
by translating the graph 10 units up.
determined your answer.

Download Report