Vertical line test -

Vertical line test

Slide the vertical line across the function to determine if the curve is a function or not.

If the line only touches the curve one point at a time then it’s a function.

If at any point the line touches more than one point then it’s not a function.

Does this graph represent a function? Explain your reasoning.



Does this graph represent a function? Explain your reasoning.



Does this graph represent a function? Explain your reasoning.



Does this graph represent a function? Explain your reasoning.



Does this graph represent a function? Explain your reasoning.



Does this graph represent a function? Explain your reasoning.



Does this graph represent a function? Explain your reasoning.



Summary

Well done! You’ve completed this exercise.

Here's a brief summary of what you discovered:

  • If the vertical line only touches one point on the curve at a time then it's a function.
  • If the vertical line touches more than one point at a time then it's not a function.
  • All linear relations are functions.
  • All circles are not functions.

If you're still unsure about what constitutes a function and what does not, repeat the exercise as many times as you'd like.