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.
Part 1 of 4
Let f(x) = cos x.
(a) First find f
Then determine what point is on the graph of f.
(b) Using the result of part (a), what point is on the graph of f?
(c) What point is on the graph of y = fx-
+2 if x = -?
3
(a) f
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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