Question

Which of the following functions is graphed below?

Answer 1

B)
`\displaystyle y=\left \{ {{x^2+4,\,x < 2} \atop {x+4,\,x\geq2}} \right.`

Explanation:

In the given piecewise function, the function
`x^2+4` has a jump discontinuity at
`x=2`, and is defined in
`x+4`.

Answer 2

`\text{Option B} \;\;\;\displaystyle y= \left \{{{ x^2\; + \;4, \;x\; < \;2} \atop {x\;+\;4,\;x \ge\; 2}} \right.`

Explanation:

We see that we have a parabola and a linear equation for this piecewise function. We also see that the parabola will be when x < 2 since it's an open dot and the linear equation will be x ≥ 2 since it's a closed dot. There is a discontinuity in x² + 4 that is filled with x + 4. Using this information, we can narrow it down to option answer B.