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


f(x) = 5x

g(x) = 5^x

Which statements could he include in his explanation? Check all that apply.

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 both functions is y > 5.

The range of f(x) is y > 0.

The range of g(x) is y > 0.

Verified Answer :

He could include two statements:
-  The domain of both functions is all real numbers.
-  The range of g ( x ) is y > 0 

Answer:

Hence, option 1 is correct.

Hence, last option is correct.

Step-by-step explanation:

We have given two function

\(f(x)=5x\)  and \(g(x)=5^x\)

Domain is the values x can take and

And range is the values y can take

Hence, x can take any real value in both the functions in f(x) and g(x)

Hence, option 1 is correct

Now, for range

range of f(x) can be any real number

But range of g(x) can be positive number

Hence, last option is correct.

Rest all options are incorrect.