Question

NO LINKS!! Please help me with this problem. Part 1gg​

Answer 1

Graph A

Explanation:

Given piecewise function:

`f(x)=\begin{cases}9+x, \;\;\:\:x\leq3\\x^2+3,\;\;x > 3\end{cases}`

To graph the given piecewise function:

• Draw the line y = 9 + x for the domain (-∞, 3].
• Draw the curve y = x² + 3 for the domain (3, ∞).

The line y = 9 + x is a straight line with a positive gradient.

It crosses the x-axis at (-9, 0) and crosses the y-axis at (0, 9).

Therefore, the only graph that shows the line y = 9 + x is the first graph.