Question

If r(x)=2–x^2 and w(x)=x–2, what is the range of _________?

a. All real numbers
b. Positive integers
c. Negative real numbers
d. Complex numbers

Answer 1

The range of the given functions r(x) = 2 - x^2 and w(x) = x - 2 is all real numbers.

Step-by-step explanation:

The range of a function refers to the set of all possible output values, or y-values, that the function can produce. To determine the range of a function, we need to analyze the behavior of the function and the restrictions on its variables.

For the given functions r(x) = 2 - x^2 and w(x) = x - 2, we can observe that both functions are defined for all real values of x. Since there are no restrictions on x, the range of both functions is all real numbers, option a.