PREVIEW Version HW 01 homan (57225)
This print-out should have 9 questions.
Multiple-choice questions may continue on
the next column or page nd all choices
before answering.
1
which of the following could be the graph of
y = f (x + 2) 2 ?
1.
FuncPcwise01a
001 10.0 points
By removing absolute values, express
f ( x) =
x2 9
| x + 3|
2.
as a piecewise-dened function.
1. f (x) =
2. f (x) =
3. f (x) =
4. f (x) =
5. f (x) =
6. f (x) =
x 3,
x > 3,
3 x,
x < 3.
x3,
x > 3 ,
3 x,
(x + 3) ,
x+ 3,
x+3,
(x + 3) ,
x < 3 .
correct
3.
correct
x > 3,
x < 3.
x > 3 ,
x < 3 .
x+ 3,
x > 3,
(x + 3) ,
x < 3.
3 x,
x 3,
4.
x > 3 ,
x < 3 .
Gate061
002 10.0 points
If the graph of f is
CalC1b13a
003 10.0 points
For a child between the ages of 6 and 16, its
height y (in inches) is approximately a linear
function of age t (in years). Joe Smiths son
John was 28 inches tall at age 6 and 48 inches
tall at age 10.
Estimate Johns height at age 11.
1. height = 55 inches
2. height = 52 inches
Version PREVIEW HW 01 homan (57225)
Determine the vertex of the parabola whose
x-intercepts are at (6, 0), (4, 0) and whose
y -intercept is at (0, 8).
3. height = 56 inches
4. height = 54 inches
5. height = 53 inches correct
Intercept05a
004 10.0 points
The manager of a weekend ea market
knows from past experience that if he charges
$x dollars for a rental space at the ea market, then the number y of spaces he can rent
is given by the linear function
y = f (x) = 90 6x ,
2
x 15.
Which of the following statements are true?
A. The y -intercept of the graph of f is 15
and this is the number of spaces would
be that occupied if there were no charge for each
space.
B. The x-intercept of the graph of f is 90
and $90 is the rental fee that results in no
spaces being rented.
C. The slope of the graph of f is 6 which
means that for each increase of $1 dollar for
a rental space, the number of spaces rented
increases by 6.
1. A and C only
2. all of them
1. vertex = 5,
25
3
2. vertex = 1,
25
3
3. vertex = 1,
4. vertex = 5,
25
correct
3
25
3
5. vertex = 5,
25
3
Graph10exam
006 10.0 points
For which of the following equations is its
graph a parabola opening to the right?
1. y + x2 = 0
2. x2 + y 2 = 0
3. y x2 = 0
4. x2 y 2 = 0
5. y 2 + x = 0
3. none of them correct
6. (x y )2 = 0
4. A only
7. y 2 x = 0 correct
QuadAnalz05b
007 10.0 points
5. C only
6. B and C only
In which quadrant does the vertex of the
parabola
7. A and B only
y = 7 + 4x x2
8. B only
lie?
CalCappC28t
005 10.0 points
1. Quadrant II
Version PREVIEW HW 01 homan (57225)
2. Quadrant I
3. Quadrant III
4. Quadrant IV correct
QuadGraph01a
008 10.0 points
Which, if any, of the following statements are
true for the graph of a quadratic function?
A. If both x-intercepts are positive and the
y -intercept is negative, then the graph opens
downwards.
B. If there are no x-intercepts and the
y -intercept is positive, then the graph opens
downwards.
1. neither of them
2. A only correct
3. both of them
4. B only
CalC1a25s
009 10.0 points
Find the domain of the equation
1
= x.
x2 + x 20
1. Domain = {x : x 0, x = 5}
2. Domain = {x : x = 5, 4 }
3. Domain = {x : x < 0, x = 5}
4. Domain = {x : x > 0, x = 4}
5. Domain
correct
=
{x : x 0, x = 4}
3