In Exercises 51-54, graph the given square root functions, f and g, in the same rectangular coordinate system . Use the integer values of x given to the right of each function to obtain ordered pairs. Because only nonnegative numbers have square roots that are real numbers, be sure that each graph appears only for values of x that cause the expression under the radical sign to be greater than or equal to zero. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f ( x ) = x ( x = 0 , 1 , 4 , 9 ) and g ( x ) = x + 2 ( x = 0 , 1 , 4 , 9 )
In Exercises 51-54, graph the given square root functions, f and g, in the same rectangular coordinate system . Use the integer values of x given to the right of each function to obtain ordered pairs. Because only nonnegative numbers have square roots that are real numbers, be sure that each graph appears only for values of x that cause the expression under the radical sign to be greater than or equal to zero. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f ( x ) = x ( x = 0 , 1 , 4 , 9 ) and g ( x ) = x + 2 ( x = 0 , 1 , 4 , 9 )
Solution Summary: The author explains how to graph the functions with the help of the points individually for f(x) and
In Exercises 51-54, graph the given square root functions, f and g, in the same rectangular coordinate system. Use the integer values of x given to the right of each function to obtain ordered pairs. Because only nonnegative numbers have square roots that are real numbers, be sure that each graph appears only for values of x that cause the expression under the radical sign to be greater than or equal to zero. Once you have obtained your graphs, describe how the graph of g is related to the graph of f.
f
(
x
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=
x
(
x
=
0
,
1
,
4
,
9
)
and
g
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x
)
=
x
+
2
(
x
=
0
,
1
,
4
,
9
)
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Let the universal set be whole numbers 1
through 20 inclusive. That is,
U = {1, 2, 3, 4, . . ., 19, 20}. Let A, B, and C
be subsets of U.
Let A be the set of all prime numbers:
A = {2, 3, 5, 7, 11, 13, 17, 19}
Let B be the set of all odd numbers:
B = {1,3,5,7, . . ., 17, 19}
Let C be the set of all square numbers:
C = {1,4,9,16}
A research team consists of 4 senior researchers and 10 research assistants. The team needs to select 2 senior researchers and 2 research assistants to attend a conference. How many different ways can the group being sent to the conference be formed?
There are 25 different varieties of flowering plants found in a natural habitat you are studying. You are asked to randomly select 5 of these flowering plant varieties to bring back to your laboratory for further study.
How many different combinations of are possible? That is, how many possible 5 plant subgroups can be formed out of the 25 total plants found?
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