1/31/14
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E1 (5316620)
Due:
Sun Feb 2 2014 11:59 PM AKST
Question
1.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Question Details
SC alc7 1.1.002. [1805706]
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SC alc7 1.1.007. [1875326]
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If
2
f(x) = x − 2x
x−2
and
g(x) = x
is it true that f = g?
Yes
No
2.
Question Details
Consider the following graph.
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Determine whether the curve is the graph of a function of x.
Yes, it is a function.
No, it is not a function.
If it is, state the domain and range of the function. (Enter your answers in interval notation. If the curve is not the graph of
a function of x, enter DNE.)
domain
range
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3.
Question Details
SC alc7 1.1.014. [1804948]
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Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time for each runner.
Describe in words what the graph tells you about this race.
Who won the race?
runner A
runner B
runner C
Did each runner finish the race?
Yes
No
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4.
Question Details
SC alc7 1.1.025. [1874646]
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SC alc7 1.1.028.MI. [1875027]
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If f(x) = 2x2 − x + 3, find the following.
f(3) =
18
f(−3) =
24
f(a) =
f(−a) =
f(a + 1) =
2f(a) =
f(2a) =
f(a2) =
[f(a)]2 =
f(a + h) =
5.
Question Details
Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = −x3,
f(a + h) − f(a)
h
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6.
Question Details
SC alc7 1.1.029. [1874662]
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SC alc7 1.1.031. [1874817]
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SC alc7 1.1.032. [1874869]
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Evaluate the difference quotient for the given function. Simplify your answer.
f(x) =
7.
1
,
x
f(x) − f(a)
x−a
Question Details
Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
8.
x+4
x2 − 49
Question Details
Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
3x3 − 1
x2 + 2x − 3
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9.
Question Details
SC alc7 1.1.033. [1874677]
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SC alc7 1.1.035. [1874400]
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SC alc7 1.1.044. [1874387]
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Find the domain of the function. (Enter your answer using interval notation.)
f(t) =
10.
3
2t − 9
Question Details
Find the domain of the function. (Enter your answer in interval notation.)
h(x) =
11.
1
4
x2 − 8x
Question Details
Find the domain of the function. (Enter your answer using interval notation.)
F(x) = |3x + 2|
Sketch the graph of the function.
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12.
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Question Details
SC alc7 1.1.045. [1874503]
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Find the domain of the function. (Enter your answer using interval notation.)
G(x) =
5x + |x|
x
Sketch the graph of the function.
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13.
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Question Details
SC alc7 1.1.047. [1874497]
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Find the domain of the function. (Enter your answer using interval notation.)
f(x) =
x + 4
1 − x
if x < 0
if x ≥ 0
Sketch the graph of the function.
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14.
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Question Details
SC alc7 1.1.051. [1875235]
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Find an expression for the function whose graph is the given curve. (Assume that the points are in the form (x, f(x)).)
The line segment joining the points (3, −1), and (7, 9)
f(x) =
Find the domain of the function. (Enter your answer using interval notation.)
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15.
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Question Details
SC alc7 1.1.054. [1874458]
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SC alc7 1.1.057. [1874789]
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Find an expression for the function whose graph is the given curve.
The top half of the circle x2 + (y − 3)2 = 1
y =
16.
Question Details
Find a formula for the described function.
A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of the length, L, of one of its sides.
A=
m2
State the domain of A. (Assume the length of the rectangle is longer than its width. Enter your answer in interval notation.)
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17.
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Question Details
SC alc7 1.1.059. [1874347]
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SC alc7 1.1.061. [1874351]
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Find a formula for the described function.
Express the area of an equilateral triangle as a function of the length of a side x.
A(x) =
State the domain of A. (Enter your answer using interval notation.)
18.
Question Details
Find a formula for the described function.
An open rectangular box with volume 9 m3 has a square base. Express the surface area SA of the box as a function of the
length of a side of the base, x.
SA =
m2
State the domain of SA. (Enter your answer in interval notation.)
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19.
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Question Details
SC alc7 1.1.062. [1874648]
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A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 28 ft, express
the area A of the window as a function of the width x of the window.
A(x) =
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20.
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SC alc7 1.1.063. [1874669]
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A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by
cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the
box as a function of x.
V(x) =
21.
Question Details
SC alc7 1.1.069. [1874507]
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Graphs of f and g are shown.
Is f even, odd, or neither?
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even
odd
neither
Explain your reasoning.
It is symmetric about the origin.
It is symmetric with respect to the y-axis.
It is symmetric with respect to the x-axis.
It is not symmetric about the origin or the y-axis.
Is g even, odd, or neither?
even
odd
neither
Explain your reasoning.
It is symmetric about the origin.
It is symmetric with respect to the y-axis.
It is symmetric with respect to the x-axis.
It is not symmetric about the origin or the y-axis.
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22.
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Question Details
SC alc7 1.1.071. [1875329]
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(a) If the point (5, 3) is on the graph of an even function, what other point must also be on the graph?
(x, y) =
(b) If the point (5, 3) is on the graph of an odd function, what other point must also be on the graph?
(x, y) =
23.
Question Details
SC alc7 1.1.073. [1874603]
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Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.
f(x) =
x
x2 + 4
even
odd
neither
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24.
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Question Details
SC alc7 1.1.075. [1875197]
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Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.
f(x) =
x
x+7
even
odd
neither
25.
Question Details
SC alc7 1.1.076. [1875304]
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Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.
f(x) = x|x|
even
odd
neither
26.
Question Details
SC alc7 1.1.501.XP. [1874500]
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The graph shown gives a salesman's distance from his home as a function of time on a certain day. Describe in words what
the graph indicates about his travels on this day.
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At 8:00 A.M. the salesman is ---Select---
at home .
From 8:00 A.M. until 9:00 A.M. the salesman is ---Select---
traveling away from home .
From 9:00 A.M. until 10:00 A.M. the salesman is ---Select---
stationary .
From 10:00 A.M. until noon the salesman is ---Select---
traveling away from home .
From noon until 1:00 P.M. the salesman is ---Select---
stationary .
From 1:00 P.M. until 3:00 P.M. the salesman is ---Select---
traveling toward home .
From 3:00 P.M. until 5:00 P.M. the salesman is ---Select---
traveling away from home .
From 5:00 P.M. until 6:00 P.M. the salesman is ---Select---
stationary .
From 6:00 P.M. until 7:00 P.M. the salesman is ---Select---
traveling toward home .
At 7:00 P.M. the salesman is ---Select---
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at home .
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Question Details
SC alc7 1.1.503.XP. [1875008]
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SC alc7 1.1.505.XP. [1874732]
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SC alc7 1.1.508.XP. [1874754]
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Find the domain of the function. (Enter your answer using interval notation.)
f(t) =
28.
t +
3
t
Question Details
Find the domain of the function. (Enter your answer using interval notation.)
f(x) = 7
29.
Question Details
Find the domain of the function. (Enter your answer using interval notation.)
g(x) =
|x|
x2
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30.
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SC alc7 1.1.JIT.009.MI. [1805604]
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Find the domain of the function.
g(x) =
x
9x2 + 8x − 1
(- ∞, ∞)
[0, 1/9) ∪ (1/9, ∞)
(- ∞, -1/9) ∪ (1/9, ∞)
(- ∞, -1) ∪ (9, ∞)
[0, 9) ∪ (9, ∞)
Assignment Details
Name (AID): E1 (5316620)
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Author: Frith, Russell ( afrgf@uaa.alaska.edu )
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