Answer:
Function is y = x.
Domain: [tex]-3 \leq x \leq 2[/tex].
Range: [tex]-5 \leq y \leq 4[/tex].
Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is [tex]y = mx + c[/tex], where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get [tex]-1 = -m + c[/tex] and [tex]1 = m + c[/tex]
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is [tex]-3 \leq x \leq 2[/tex].
Range is [tex]-5 \leq y \leq 4[/tex]
