Question

Which are true of the function f(x) = 49? Select three options.

The domain is the set of all real numbers.
The range is the set of all real numbers.
The domain is x > 0.
The range is y > 0.
As x increases by 1, each y-value is one-seventh of the previous y-value.

Answer 1

True statements:
- The domain is the set of all real numbers. (f(x)=49 is defined for every real x.)
- The range is y > 0 (more precisely, the range is the single value {49}, and 49 > 0, so every y-value is positive).

False statements:
- The range is the set of all real numbers. (The range is {49}, not all reals.)
- The domain is x > 0. (The domain is all real numbers, not restricted to x>0.)
- As x increases by 1, each y-value is one-seventh of the previous y-value. (The y-value stays constant at 49.)

Note: Only two of the five given statements are correct; there are not three true options.