The range of the function is {- 9, 6, 11}.
How to determine the range of a function
Herein we find the case of a function, whose domain consists in a set of three elements and whose range must be determined. Functions consists of three components:
- Domain - Input set.
- Range - Output set.
- Relations - Connections between elements of the domain and elements of the range.
Now we proceed to evaluate the function at each domain element to find the corresponding range element.
x = - 4
y = 5 · (- 4) + 11
y = - 9
x = - 1
y = 5 · (- 1) + 11
y = 6
x = 0
y = 5 · 0 + 11
y = 11