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Kristin Fracchia

ACT Challenge Question 17: Linear Graphs with Discontinuity

Magoosh ACT Challenge Question


Who’s up for a tough coordinate geometry problem?!?! Check out the graph and question below, and post your answer and how you got it in the comments below. I will reveal all on Friday! Your explanation may even get featured, smartypants!


The graph shows a function graphed in the standard (x, y) plane. Which of the following could be the equation of the function?



About Kristin Fracchia

Kristin makes sure Magoosh's blogs are chock-full of awesome, free resources for students preparing for standardized tests. With a PhD from UC Irvine and degrees in Education and English, she’s been working in education since 2004 and has helped students prepare for standardized tests, as well as college and graduate school admissions, since 2007. She enjoys the agonizing bliss of marathon running, backpacking, hot yoga, and esoteric knowledge.

2 Responses to “ACT Challenge Question 17: Linear Graphs with Discontinuity”

  1. Abdul says:

    Answer choices C & E are clearly out because ‘x’ cannot be ‘-3’. For B, if we select x as 2.9999, the value of y becomes negative, but that’s clearly not the case. A cannot be the answer choice because there is a hole in the graph(the range of y is restricted) So, we’re only left with ‘D’.

    • Kristin Fracchia Kristin Fracchia says:

      Hi Abdul! Thanks for that answer! So succinct and well-reasoned. I’ve added it as a featured student answer on the explanation page to this question :)!

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