Stewart – Calculus 8e ET Chapter 1 Form G
____ 19. 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. Select the correct answer.
a. Shift the graph 3 units to the right and 3 units down.
b. Shift the graph 3 units to the right and 3 units up.
c. Shift the graph 3 units to the left and 3 units up.
d. Shift the graph 3 units to the left and 3 units down.
e. None of these
20. Which of the following graphs is the graph of the function?
Graph 1
12–1–2
Graph 2
1234–1–2–3–4
Graph 3
1234–1–2–3–4
Stewart – Calculus 8e ET Chapter 1 Form G
Answer Key
Stewart – Calculus 8e ET Chapter 1 Form G
Stewart – Calculus 8e ET Chapter 1 Form H
1. Plot the graph of the function f in an appropriate viewing window.
____ 2. Find the points of intersection of the graphs of the functions. Express your answers accurate to five
decimal places. Select the correct answer.
f (x) = 0.5 – 1.8 + 2.2x – 4; = 2.8x – 4.3
a. (–0.55126, –5.84352),
(3.87001, 6.53604)
b. (–0.55126, –1.54352)
(0.28124, 10.83604)
(3.87001, 0.78748)
c. (–0.55126, –1.54352)
(3.87001, 0.78748)
d. (–0.55126, –5.84352),
(0.28124, –3.51252)
(3.87001, 6.53604)
3. The function is graphed below.
2.5 5 7.5 10–2.5–5–7.5–10 x
2.5
5
7.5
10
12.5
15
–2.5
–5
–7.5
–10
y
4. Find the inverse function of .
Stewart – Calculus 8e ET Chapter 1 Form H
____ 5. Determine whether the function is one-to-one.
a. Yes
b. No
6. Find the exact value of the given expression.
tan–1
1
7. Use the laws of logarithms to expand the expression.
ln
____ 8. Simplify the expression. Select the correct answer.
a. 9
b. 18
c. 216
d. 729
9. Solve the equation.
10. A box with an open top is to be constructed from a rectangular piece of card board with
dimensions in. by in. by cutting out equal squares of side at each corner and then
folding up the sides as in the figure.
Express the volume of the box as a function of .
Stewart – Calculus 8e ET Chapter 1 Form H
____ 11. Find an expression for the function whose graph is the bottom half of the parabola
. Select the correct answer.
a.
b.
c.
d.
e.
12. Find the domain of the function.
13. Find the domain and sketch the graph of the function. What is its range?
f (x) =
____ 14. The graph shown gives the weight of a certain person as a function of age. Find the age at which
the person started an exercise program. Select the correct answer.
a. 20
b. 54
c. 38
d.
e. 35
Stewart – Calculus 8e ET Chapter 1 Form H
____ 15. Find the domain. Select the correct answer.
a.
b.
c.
d.
e.
16. 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.
Stewart – Calculus 8e ET Chapter 1 Form H
____ 17. The graph of the function follows. Choose the graph of
12345–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
a.
12345–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
c.
12345–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
b.
12345–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
d.
12345–1–2–3–4–5 x
1
2
3
4
5
–1
–2
–3
–4
–5
y
Stewart – Calculus 8e ET Chapter 1 Form H
18. Sketch the graph of over one period.
19. Find the function and its domain if and .
____ 20. The graph of the function has been stretched horizontally by a factor of 2.
Find the function for the transformed graph. Select the correct answer.
a.
b.
c.
d.
Stewart – Calculus 8e ET Chapter 1 Form H
Answer Key
Stewart – Calculus 8e ET Chapter 1 Form H
Stewart – Calculus 8e ET Chapter 1 Form H