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Stewart_Calc_7ET ch01sec03
MULTIPLE CHOICE
1. Graph the function by hand, not by plotting points, but by starting with the graph of one of
the standard functions and then applying the appropriate transformations.
a.
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
c.
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
b.
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
d.
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
2. If and , find a function g such that .
a.
b.
c.
d.
e.
3. Use the table to evaluate the expression .
1
2
3
4
5
6
3
2
1
0
1
2
6
5
2
3
4
6
a.
5
b.
2
c.
3
d.
4
e.
6
4. What is , given that and ?
a.
h(x)
b.
g(x)
c.
f(x)
5. The graph of the function follows. Choose the graph of
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
a.
c.
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
b.
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
d.
1 2 3 4 5–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
6. The graph of the function follows. Choose the graph of
3 6 9–3–6–9 x
3
6
9
–3
–6
–9
y
a.
c.
3 6 9–3–6–9 x
3
6
9
–3
–6
–9
y
3 6 9–3–6–9 x
3
6
9
–3
–6
–9
y
b.
3 6 9–3–6–9 x
3
6
9
–3
–6
–9
y
d.
3 6 9–3–6–9 x
3
6
9
–3
–6
–9
y
7. Suppose that the graph of is given f is given. Describe how the graph of the function
can be obtained from the graph of f.
a.
Shift the graph 5 units to the left and 5 units down.
b.
Shift the graph 5 units to the left and 5 units up.
c.
Shift the graph 5 units to the right and 5 units up.
d.
Shift the graph 5 units to the right and 5 units down.
e.
None of these
8. Which of the following graphs is the graph of the function?
Graph 1
1 2–1–2
Graph 2
1 2 3 4–1–2–3–4
Graph 3
1 2 3 4–1–2–3–4
a.
Graph 2
b.
Graph 1
c.
Graph 3
9. Which of the following is the equation for the function ?
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Express the function in the form of .
2. A spherical balloon with radius inches has volume
.
Find a function that represents the amount of air required to inflate the balloon from a radius
of inches to a radius of inches.
3. Express the function in the form of .
__________
4. A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 45
cm/s. Express the radius r of this circle as a function of the time t (in seconds) and find
if A is the area of this circle as a function of the radius.
SHORT ANSWER
1. Let and . Find .
2. Find if
