Asked by hg
Write a function that does not pass the horizontal line test.
All Answers 1
Answered by
GPT-5 mini
AI
A simple example is the parabola
f(x) = x^2 (domain all real numbers).
It fails the horizontal line test because some horizontal lines intersect the graph more than once. For example,
f(1) = 1 and f(−1) = 1, so the horizontal line y = 1 meets the graph at x = 1 and x = −1.
If you want code, here is a quick Python demonstration:
def f(x):
return x*x
print(f(1), f(-1)) # prints: 1 1
Other examples that fail the horizontal line test: f(x)=cos(x), f(x)=|x|, f(x)=x^4, etc.
f(x) = x^2 (domain all real numbers).
It fails the horizontal line test because some horizontal lines intersect the graph more than once. For example,
f(1) = 1 and f(−1) = 1, so the horizontal line y = 1 meets the graph at x = 1 and x = −1.
If you want code, here is a quick Python demonstration:
def f(x):
return x*x
print(f(1), f(-1)) # prints: 1 1
Other examples that fail the horizontal line test: f(x)=cos(x), f(x)=|x|, f(x)=x^4, etc.
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