Answer:
Graph 1 will be the correct one.
Step-by-step explanation:
We are given the piece wise function defined as
f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0
The first part of the function does not include x = 0.
And, this is in slope-intercept form.
So, slope is 1 i.e. tan Ф = 1, ⇒ Ф = 45°.
And it has y-intercept at (0,3).
So, the conditions are shown in graphs 1 and 3.
Now, the second part of the function equation passes through origin {As the equation is f(x) = 2x}
So, only graph 1 matches both the conditions.
Therefore, graph 1 will be the correct one. (Answer)
