Question

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x
g(x) = 5x

Which statements could he include in his explanation? Select two options.

The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.

Answer 1

Likely there's a typo: if g(x) was intended to be 5^x (exponential) while f(x)=5x (linear), then the two correct choices are:

- The domain of both functions is all real numbers.
- The range of g(x) is y > 0.

Reason: f(x)=5x has domain all real numbers and range all real numbers. g(x)=5^x has domain all real numbers and range (0, ∞). If g(x) really is 5x (the same as f), then only "The domain of both functions is all real numbers" is correct.