The graph represents the piecewise

Step-by-step explanation:

We need to find the equation of the straight line on the interval

This line passes through (-1,-3) and has slope 2.

The equation of this line is

On the interval , the function is a straight line.

The straight line passes through; (1,5) and has slope 1.

The equation of this line is

The piece-wise function is;

probably the last option

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.