Question

what are the domain and range of $f(x) = -30$? a domain: all real numbers range: {-30} b domain: {-30} range: all real numbers c domain: all real numbers greater than or equal to -30 range: all real numbers d domain: all real numbers range: all real numbers greater than or equal to -30

Explanation:

Step1: Analyze the domain

The function $f(x) = -30$ is a constant function. There are no restrictions on the input $x$ (no division by zero, no square roots of negative numbers, etc.), so any real number can be substituted for $x$.

Step2: Analyze the range

A constant function outputs the same value for every input. Here, the output is always $-30$, so the range only contains this single value.

Answer:

A. Domain: All real numbers
Range: {-30}