contestada

The table represents a logarithmic function f(x).

x ,y

1/125, −3

1/25, −2

1/5, −1

1, 0

5, 1

25, 2

125, 3


What are the domain and range of f(x)? Explain your reasoning.

Respuesta :

Using function concepts, it is found that:

  • The domain is: [tex]\left{\frac{1}{125}, \frac{1}{25}, \frac{1}{5}, 1, 5, 25, 125\right}[/tex].
  • The range is: {-3, -2, -1, 0, 1, 2, 3}.

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.

In a graph, we have that:

  • The domain is given by the x-values, the horizontal axis.
  • The range is given by the y-values, the vertical axis.

Hence, considering the function given in this problem:

  • The domain is: [tex]\left{\frac{1}{125}, \frac{1}{25}, \frac{1}{5}, 1, 5, 25, 125\right}[/tex].
  • The range is: {-3, -2, -1, 0, 1, 2, 3}.

More can be learned about the domain and the range of a function at https://brainly.com/question/10891721

Otras preguntas