Answer:
Function is [tex]y = \frac{9}{5}x + \frac{2}{5}[/tex]
Domain [-3,2] and range [-5,4].
Step-by-step explanation:
See the given graph attached.
The graph itself shows the function is a linear function passing through the points (2,4) and (-3,-5).
So, the equation of this linear function will be given by
[tex]\frac{y - 4}{4 + 5} = \frac{x - 2}{2 + 3}[/tex]
⇒ 5(y - 4) = 9(x - 2)
⇒ 5y - 20 = 9x - 18
⇒ 5y = 9x + 2
⇒ [tex]y = \frac{9}{5}x + \frac{2}{5}[/tex]
This is the function.
Now, the domain of the function is [-3,2].
And the range of the function is [-5,4]. (Answer)
