Question

Please help its urgent ​

Answer 1

Function is y = x.

Domain:
`-3 \leq x \leq 2`.

Range:
`-5 \leq y \leq 4`.

Explanation:

In the given image, the line passes through (-1, -1) and (1, 1).

Let the equation of the line is
`y = mx + c`, 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
`-1 = -m + c` and
`1 = m + c`

From the two equations we get, c = 0 and m = 1.

Hence, the function is y = x.

Domain is
`-3 \leq x \leq 2`.

Range is
`-5 \leq y \leq 4`