Respuesta :

Answer:

[tex]Range= \{1,-4,-19\}[/tex]

Step-by-step explanation:

Given

[tex]f(n) = -4n - 3[/tex]

[tex]n = \{-1,1/4,4\}[/tex] --- domain

Required

Determine the range

To do this, we simply substitute the values of n in the given expression

So, we have:

[tex]n = -1[/tex]

[tex]f(-1) = -4 * -1 - 3 =4 - 3 = 1[/tex]

[tex]n = 1/4[/tex]

[tex]f(-1) = -4 * 1/4 - 3 =-1 - 3 = -4[/tex]

[tex]n=4[/tex]

[tex]f(-1) = -4 * 4 - 3 =-16 - 3 = -19[/tex]

Hence, the range is:

[tex]Range= \{1,-4,-19\}[/tex]