In Exercises 1-5, graph f and g in the same rectangular coordinate system . Graph and give equations of all asymptotes. Give each function’s domain and range. f ( x ) = log 2 x and g ( x ) = log 2 ( x − 1 ) + 1
In Exercises 1-5, graph f and g in the same rectangular coordinate system . Graph and give equations of all asymptotes. Give each function’s domain and range. f ( x ) = log 2 x and g ( x ) = log 2 ( x − 1 ) + 1
Solution Summary: The author calculates the domain, range, and equation of asymptotes for given functions f(x)=mathrmlog_2x.
In Exercises 1-5, graph f and g in the same rectangular coordinate system. Graph and give equations of all asymptotes. Give each function’s domain and range.
f
(
x
)
=
log
2
x
and
g
(
x
)
=
log
2
(
x
−
1
)
+
1
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.
2. Find the exact value of 12 + 12+12+√√12+ √12+
12
Technetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function TT where T(d)T(d) =100(2)−d=100(2)−d is the percent of Technetium-99m remaining dd days after the test. Which expression represents the number of days until only 5% remains?
1. Find the inverse of f(x) =
=
2x
1+2x
Then find the domain of the inverse.
Chapter 4 Solutions
Algebra & Trigonometry With Additional Material From College Algebra Essentials (custom Edition For Tidewater Community College)
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