Question

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same range. p(x) and q(x) have the same domain but different ranges. p(x) and q(x) have different domains but the same range. p(x) and q(x) have different domains and different ranges.

Answer 1

Answer:

The statement that best describes the domain and range of p(x) and q(x) is:

             p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

We are given a function p(x) as:

$p(x)=6-x$

AS the function is a polynomial function.

Hence it is defined everywhere for all the real values.

Hence, the domain of the function p(x) is: All  Real numbers.

and the range of the function p(x) is: All the real numbers.

and the function q(x) is given by:

$q(x)=6x$

which is also a polynomial function.

Hence, it also has the same domain and range.

Answer 2

p(x) and q(x) have different domains and different ranges