Question

Which function is graphed?

Answer 1

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}`