what is the domain, range for these equations? kindly include explaination.
1. z = 4x² + y²
2. z = √(x² + y² - 16)
3. z = √(4 - y²)
4. z = 1/x²y²
Hello, fuzzyorama!
can be any real value.What is the domain, range for these equations?
can be any real value.
. . Domain: .
Since and are nonnegative, will be nonnegative.
. . Range: .
The radicand must be nonnegative.
. . Domain: .
will be nonnegative.
. . Range: .
The radicand must be nonegative. .
. . Domain: .
will be nonnegative.
. . Range: .
cannot be zero.
. . Domain: .
Since is always positive, is positive.
. . Range: .