The domain of the function is the set of all real numbers with two exceptions. The smaller exception is I= , and the larger is x = The range of f is the set of all real numbers except those in the interval f(x) = 4 I² x² Hint: Observe that we can't divide by zero, and we can't take the square root of a negative number. To find the interval that's not in the range look for critical numbers.
The domain of the function is the set of all real numbers with two exceptions. The smaller exception is I= , and the larger is x = The range of f is the set of all real numbers except those in the interval f(x) = 4 I² x² Hint: Observe that we can't divide by zero, and we can't take the square root of a negative number. To find the interval that's not in the range look for critical numbers.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The domain of the function
is the set of all real numbers with two exceptions. The smaller exception is
X=
and the larger is
x =
The range of f is the set of all real numbers except those in the interval
f(x)
x²
4 x²
Hint: Observe that we can't divide by zero, and we can't take the square root of a negative number. To find the interval that's not in the range look for critical numbers.
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