Question

Consider the three functions:

f(x) = (4)x g(x) = (4)–x h(x) = –(4)x

Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply.
1. f(x) has a domain of all real numbers.
2. g(x) has a range of y < 0.
3. h(x) has a range of y > 0.
4. g(x) has a domain of all real numbers.
5. h(x) has a domain of x > 0.

Answer 1

f(x) has a domain of all real numbers.

g(x) has a domain of all real numbers.

Explanation:

Answer 2

f(x) = (4)x, g(x) = (4)–x , h(x) = –(4)x

1. f(x) has a domain of all real numbers. -true
2. g(x) has a range of y < 0. -false g(0)=4-0=4
3. h(x) has a range of y > 0.- false h(1)=-4*1=-4
4. g(x) has a domain of all real numbers. -true
5. h(x) has a domain of x > 0. false , domain of linear function is all real numbers