Let . Then
for all
, so
is strictly increasing. As
,
, so
is bounded above by 1. This is to say,
and the integral of converges over the same domain, so this integral must also converge by comparison.
We have, by setting ,
The graph of the function f(x)= -(x+3)(x-1) is shown below. What is true about the domain and range of the function?
1 answer:
Answer:
The domain is all real numbers, and the range is all real
numbers less than or equal to 4.
Step-by-step explanation:
The domain of a function f(x) is the set of all values for which the function is defined
We are given
f(x) is defined for all real values of x since there are no restrictions on the value of x
So,The domain of the function is all real numbers
Range of the function is the set of all values that f takes.
So, Range of given function is all real numbers less than or equal to 4.
Hence The domain is all real numbers, and the range is all real numbers less than or equal to 4.
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