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Which of the following functions is graphed below?

Which of the following functions is graphed below?-example-1

2 Answers

5 votes

Answer:

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.

User Fzwo
by
8.7k points
4 votes

Answer:


\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.

User Twillouer
by
9.0k points

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