We are given a linear function:
f(x) = 2 x + 3
We are also given the domain of the function as:
Domain = (-4, 5)
We need to find the range of the function and draw its graph.
For x = -4, the value of function will be:
f( -4) = 2 (-4) + 3
f( -4) = - 8 + 3
f( -4) = - 5
For x = 5, the value of function will be:
f( 5) = 2 (5) + 3
f( 5) = 10 + 3
f( 5) = 13
So, the range will become:
( -5, 13)
The graph of the function with points:
x y
1 5
2 7
3 9
Therefore, we get that, the range of the function f(x) = 2 x + 3 will be ( -5, 13).
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