We can help you get into your dream school.

Sign up for Magoosh SAT or Magoosh ACT Prep.

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?



Improve your SAT or ACT score, guaranteed. Start your 1 Week Free Trial of Magoosh SAT Prep or your 1 Week Free Trial of Magoosh ACT Prep today!
About Kristin Fracchia

Kristin makes sure Magoosh's sites are full of awesome, free resources that can be found by students prepping 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 agony and bliss of train 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 :)!

Leave a Reply

Magoosh blog comment policy: To create the best experience for our readers, we will approve and respond to comments that are relevant to the article, general enough to be helpful to other students, concise, and well-written! :) If your comment was not approved, it likely did not adhere to these guidelines. If you are a Premium Magoosh student and would like more personalized service, you can use the Help tab on the Magoosh dashboard. Thanks!