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]