jayikemp
contestada

What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?

1-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions have an x-intercept in common.

2- Both f(x) and g(x) include domain values of [12, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

3-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions increase over the interval (-6, 0).

4-Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

Respuesta :

Using the domain and the range of the function, it is found that the correct option is given by:

4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

What are the domain and the range of a function?

  • The domain of a function is the set that contains all the values of the input.
  • The range of a function is the set that contains all the values of the output.

Function f(x) is defined by: f(x) = 12x.

  • Line with positive slope, hence it is increasing all over it's domain.
  • Range is all real values.
  • No restriction, hence the domain is also all real values.

Function g(x) is defined by: [tex]g(x) = \sqrt{x - 12}[/tex]

  • The square root function increases over all it's domain.
  • The range is [tex](0, \infty)[/tex].
  • The term inside the root cannot be negative, hence the domain is [12, ∞), which is contained into the domain of f(x).

This means that option 4 is correct.

More can be learned about domain and range of a function at https://brainly.com/question/27274752

pybrothepyro4

Answer:

its D

Step-by-step explanation:

ifunny is dankreloaded

Otras preguntas