Question

Use the image to answer the question.

Two rays and one line segment are plotted on a coordinate plane.
▶Click for Long Desc

Is this the correct graph for the piecewise function f(x)=⎧⎩⎨⎪⎪2x+6 if x<1−14x−3 if 1≤x<64+4x if x≥6
?

Enter 1 for yes or 2 for no.

Answer 1

2

No — the pieces don't match the function. At x=1 the left piece 2x+6 gives (1,8) (open) while the middle piece -14x-3 gives (1,-17) (closed). At x=6 the middle piece approaches (6,-87) (open) while the right piece 4+4x gives (6,28) (closed). The plotted graph does not show these open/closed points and the large jump between y≈-87 and y=28, so it is incorrect.