Think About It Use a graphing utility to graph the functions f x = x and g x = 6 arctan x . For x > 0 , it appears that g > f . Explain how you know that there exists a positive real number a such that g > f for x > a . Approximate the number a .
Think About It Use a graphing utility to graph the functions f x = x and g x = 6 arctan x . For x > 0 , it appears that g > f . Explain how you know that there exists a positive real number a such that g > f for x > a . Approximate the number a .
Solution Summary: The author explains how to graph the functions f(x)=sqrtx's and glt## with the help of graphing utility.
Think About It Use a graphing utility to graph the functions
f
x
=
x
and
g
x
=
6
arctan
x
.
For
x
>
0
,
it appears that
g
>
f
.
Explain how you know that there exists a positive real number
a
such that
g
>
f
for
x
>
a
.
Approximate the number
a
.
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.