MATH SOLVE

10 months ago

Q:
# Consider the three functions:f(x) = (4)x g(x) = (4)–x h(x) = –(4)xWhich 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.

Accepted Solution

A:

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

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