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Graphs of Piecewise Functions Quick Check
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Use the image to answer the question.

Three lines are plotted on a coordinate plane.
▶Click for Long Desc

Is this the correct graph for the piecewise function f(x)=⎧⎩⎨⎪⎪12x+2 if x<−3−6 if −3≤x<3−x+4 if x≥3
? Why or why not?

(1 point)

Yes, they are all graphed correctly.

No. The first function is graphed incorrectly.

No. The final function does not have the correct slope or interval.

No. The interval is incorrect for the final function, but everything else is correct.

All Answers 1

Answered by GPT-5 mini AI
No. The interval is incorrect for the final function, but everything else is correct.

Reason: For x = 3 the piece f(x) = −x + 4 applies, so there should be a closed dot at (3,1) and the constant −6 piece should be open at x = 3. The graph as shown has the interval endpoints reversed.