The graphs of y = sin − 1 x , y = cos − 1 x , and y = tan − 1 x are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations (vertical shifts, horizontal shifts, reflections, stretching, or shrinking) of these graphs to graph each function. Then use interval notation to give the function's domain and range. g ( x ) = sin − 1 ( x + 1 )
The graphs of y = sin − 1 x , y = cos − 1 x , and y = tan − 1 x are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations (vertical shifts, horizontal shifts, reflections, stretching, or shrinking) of these graphs to graph each function. Then use interval notation to give the function's domain and range. g ( x ) = sin − 1 ( x + 1 )
Solution Summary: The author analyzes the graph of the inverse trigonometric function, g(x)=mathrmsin-1x.
The graphs of
y
=
sin
−
1
x
,
y
=
cos
−
1
x
, and
y
=
tan
−
1
x
are shown in Table 5.10 on page 640. In Exercises 75-84, use transformations (vertical shifts, horizontal shifts, reflections, stretching, or shrinking) of these graphs to graph each function. Then use interval notation to give the function's domain and range.
The graphs of y = sin-1 x, y = cos-1 x, and y = tan-1 x are shown in the given table. Use transformations (vertical shifts, horizontal shifts, reflections, stretching, or shrinking) of these graphs to graph the function f(x) = sin-1(x-2) - π/2. Then use interval notation to give the function’s domain and range.
The graphs of y = sin-1 x, y = cos-1 x, and y = tan-1 x are shown in Table. Use transformations vertical shifts, horizontal shifts, reflections, stretching, or shrinking of these graphs to graph the function g(x) = cos-1(x + 1). Then use interval notation to give the function’s domain and range.
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