1 Answer

Tarukami · Answer 1 · 2023-01-12T21:26:13+0000

Answer:
$f(x)=\begin{cases} x^2 +4, x < 3 \\ -x+4, x \geq 3 \end{cases}$

Explanation:

By inspection, we know the equation of the parabola is
y=x^2 +4 and the equation of the line is
y=-x+4 .

Since there is an open hole at x=3 for the parabola and a closed hole at x=3 for the line, the function is

$f(x)=\begin{cases} x^2 +4, x < 3 \\ -x+4, x \geq 3 \end{cases}$

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