Post,your response to the following:
What similarities and differences do you see between functions and linear
equations?
Are all linear equations functions?
Is there an instance when a linear equation is not a function? Support your
answer.
Create an equation of a nonlinear function and provide two inputs for your
classmates to evaluate.
Provide additional similarities and differences between functions and linear
equations.
Due Date: Day 4 [Main forum].
Post your response to the following: What is the difference between domain
and range? Describe a real-life situation that could be modeled by a function.
Describe the values for x that may not be appropriate values even when they
are defined by your classmates' function.
A function could, for example, indicate the amount of bone strength (y) in a
living human body over time in years (x). It would not make sense to look at
negative years, because the person would not yet be born. Likewise, looking
beyond 100 years might not make sense, as many people do not live to be
100.
7
/
1.
Determine whether the correspondence is a function.
Domain
W
e
Is this correspondence a function?
0 Yes
0
No
Determine whether the correspondence is a
function.
Domain
Is this correspondence a function?
O No
Range
Determine whether the correspondence is a function.
Domain (city)
Rrmge ( t e a )
Is this correspondence a function?
0 No
0
Yes
Yes
I
4.
Determine whether the following is a function.
A set of ancient redwood trees
Domain
Correspondence Residents of a forest
A redwood forest
Range
Is it a function?
0
0
No
Yes
+
Given the function h described by h(x) = x 1, find each of the following.
Given the h c t i o n h described by h(x) = 3x, find each of the following.
Pqe2
7.
Find the indicated outputs for fix) 51 5x2 - 3x.
The function H described by H (x) = 2 . 7 5 ~+ 7 1.48 can be used to predict the height, in centimeters,
of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long.
Predict the height of a woman whose humerus is 33 cm long.
The predicted height of a woman whose humerus is 33 cm long is
9.
U cm.
d
The function, p(d) = 1 +-, gives the pressure, in atmospheres (atm), at a depth d in the sea (d is in
33
feet). Note that p(O)= 1 atm, p(33) = 2, and so on. Find the pressure at 200 feet.
atm.
The pressure at 200 feet is
(Type an integer or a simplified fraction.)
10.
mf
Graph the function.
Use the graphing tool to graph the h c t i o n .
84X
I
'
I
'
I
~
I
-20 -16 -12 -8 d4-8-12-
~~
II
4
~
-
l
-
18 1~ -
8 12 lk 20
4
11.
Find the graph of the equation by plotting points.
f ( x ) =4x
-5
Choose the correct graph.
Page 4
oA.
-
12.
Plot the points given on the left on the graph
below.
Graph the function by plotting points.
Plot the point (x,f(x)) with an x-value
of 0.
Plot the point (x,f(x)) with an x-value
of 16.
Plot the point (x,fTx)) with an x-value
of - 12.
The final graph of the fimction, formed by
connecting the points plotted above with a
straight line, is shown below.
Page 5
13.
Graph the function on paper.
OB.
OA.
f(x) =x2 + 3
Choose the correct graph.
14.
Determine if the graph is a function.
Is this the graph of a function?
0 No
0
Yes
X
1
-8
Determine if the graph is a function.
Is this the graph of a function?
0 Yes
0 No
,
, ' " "
"
'
'
'
'
'
I
*
8
16.
Determine if a graph is a function.
Is this the graph of a function?
Yes
17.
The graph shows the annual heart attack rate per
10,000 men as a function of blood cholesterol
level. Use the graph to approximate the annual
heart attack rate per 10,000 men for those whose
blood cholesterol level is 225 mg/dl.
Hcart attack ratc
90
60
The heart attack rate for a blood cholesterol level of 225 mg/dl. is
(Type a whole number. Round to the nearest 5 as needed.)
per 10.000 men.
18.
For the graph, determine the value o f
a) f( - 2)
b) the domain
c) any x-values for which f(x) = 2
d) the range
-
8-AY
6-
4-
-
24,
-
a) 4 - 2 ) = 0
I
-8
'
l
-6
'
l
-4
'
l
-2
'
-
-2-
b) The domain is
(Use a comma to separate answers as needed.)
c) Find any x-value(s) for which
f(x) = 2.
(Use a comma to separate answers as needed.)
{n).
d) Therange is
(Use a comma to separate answers as needed.)
19.
Use the graph to find the following.
What is the domain?
rxlO>
(Type an inequality or a compound inequality.
Type R if the answer is all real numbers.)
Determine all x-values such that f(x)
=
- 1.
x-•
(Usea comma to separate answers as needed.)
What is the range?
(Type an inequality or a compound inequality.
Type R if the answer is all real numbers.)
Page S
X
'
1
2
'
1
4
'
1
6
,
I
8
*
-
-
N
20.
Use the graph of the function to find the
following.
~ - 2 ) = 0
What is the domain?
OA. (XI-oo<xSO)
06. { X I - ~ O < X S ~ O )
-6-
0c. All real numbers
-8-
1 -10-
OD. ( x ~ o s x < ~ ~ )
Find all x-values such that f(x) = - 1.
x-•
(Use a comma to separate answers as needed.)
What is the range?
OA. {y 1- 1 0 < y < 10)
06 . All real numbers
21.
Find the domain of the function.
Choose the correct domain below.
OA. {x 1 x is a real number and x
#
8)
{XI x is a real number and x
#
0)
QB.
OD. {x(xirarealnurnberandx 2
-
Page 9
L
22.
Find the domain.
p(x)=2x
-2
Choose the correct domain below.
OA. {x ( x is a real number and x
Oc.
23.
{X
+ 0)
OB. { x )xisarealnumberandx
Find the domain of the function.
Choose the correct domain below.
OD.
24.
(x I x is a real number and x
#
4)
+ 0)
Find the domain of the function.
Choose the correct domain below.
x 1 x is a real number and x
+-
0 s . {x I x is s real number and x 2 gc. {x 1 x is a real number and x
2)
0D. (x I x is a real number and x > 0)
( x is a real number)
OA. (x 1 x is a real number and x
+
#
0)
OD. {~Ixisarealnumberandx+ 2)
Page 10
25.
Find the domain.
Choose the correct domain below.
0A. All real numbers
OD.
{XI
x+$}
Use the graph of the function f to find f( 1 ), f(2),
and f(3).
fl1)=0
Page 11
27.
Find the domain.
Choose the correct domain below.
0C. All real numbers
28.
Find the domain of the function.
Choose the correct domain below.
OA. {x I x is a real number and x 2
0 0 . {x (xisarealnumberandx
29.
-
+ 8)
Find the domain of the bction.
p(x)=~3-~2+~-3
What is the domain of p?
OA. {x I x is a real number and x ;to)
OC. {x ( x is a real number)
0D.
{x ( x is a real number and x
3)
*
z
30.
Use the graph to find the following.
What is the domain?
(Type an inequality or a compound inequality.
Type R if the answer is all real numbers.)
Determine all x-values such that f(x) = 1 .
(Use a comma to separate answers as needed.)
Whatis the range?
(Type an inequality or a compound inequality.
T@ R if the answer is all re& numb&.)
ty
-