For the questions below, enter your answers using interval notation. You can use "U" to represent a "union", e. g. enter "(1,2) U (3,5)" for ( 1 , 2 ) ∪ ( 3 , 5 ) . You can enter "oo" for [infinity] , e. g. enter "(-oo, oo)" for ( − [infinity] , [infinity] ) .
Suppose f(x)=2x2+4
What is the domain of f
What is the range of f?
Suppose g(x)=√x−3/x−8
What is the domain of g?
What is the range of g?

For the function the domain is and the range is .

For the function the domain is and the range is .

Step-by-step explanation:

The domain of a function is the set of input or argument values for which the function is real and defined.

The function has no undefined points nor domain constraints. Therefore, the domain is .

To find the domain of the function , you must find non-negative values for radicals, this means that we solve

Therefore, the domain is

The range of a function is the set of values of the dependent variable for which a function is defined.

The function has the vertex (0, 4). Therefore, the range is .

To find the range of the function . We find the range for the interval and the range for the interval .

We compute the values of the function at the edges of the interval:

For , the function value is and .

Therefore, the range of at the domain interval is

The and . Therefore, the range of at the domain interval is

Combine the ranges of all domain intervals to obtain the function range:

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step-by-step explanation:

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step-by-step explanation: