The population of China was about 1.39 billion in the year 2013, with an annual growth rate of about 0.6 % . Thissituation is represented by the growth function P ( t ) = 1.39 ( 1.006 ) t , where tis the number of years since 2013. To thenearest thousandth, what will the population of China be for theyear 2031? How does this compare to the populationprediction we made for India in Example 3?
The population of China was about 1.39 billion in the year 2013, with an annual growth rate of about 0.6 % . Thissituation is represented by the growth function P ( t ) = 1.39 ( 1.006 ) t , where tis the number of years since 2013. To thenearest thousandth, what will the population of China be for theyear 2031? How does this compare to the populationprediction we made for India in Example 3?
The population of China was about
1.39
billion in the year 2013, with an annual growth rate of about
0.6
%
. Thissituation is represented by the growth function
P
(
t
)
=
1.39
(
1.006
)
t
,
where tis the number of years since 2013. To thenearest thousandth, what will the population of China be for theyear 2031? How does this compare to the populationprediction we made for India in Example 3?
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
5) For each function represented by an equation, make a table and plot the corresponding
points to sketch the graph of the function.
(a) y = 75 ()*
220
X
y
200-
-2
180
160
-1
140
0
120
100
1
60
80
2
3
4
x
(b) y = 20 ()*
1
60
40
20
20
0
2
3
65-
-1
X
y
60
-2
55-
50
45
44
40
0
35-
30
1
25
2
20
20
15
3
10
5
LO
4
3-2
T
-1
0
5-
4-
-3-
2-
A system of inequalities is shown.
y
5
3
2
1
X
-5
-4
-3
-2
-1
0
1
2
3
4
5
-1-
Which system is represented in the graph?
Oy>-x²-x+1
y 2x²+3
-2
-3
т
Which set of systems of equations represents the solution to the graph?
-5
-4
-3
-2
Of(x) = x² + 2x + 1
g(x) = x²+1
f(x) = x²+2x+1
g(x) = x²-1
f(x) = −x² + 2x + 1
g(x) = x²+1
f(x) = x² + 2x + 1
g(x) = x²-1
-1
5 y
4
3
2
1
0
-1-
-2
-3-
-4.
-5
1
2
3
4
5
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