Unsimplified vs Simplified

Algebra Level 2

Here are two equations in slope intercept form: $y = \dfrac{x^{4}}{x^{2}}$ and $y = x^{2}$ . Are these equations the same when graphed ?

Yes No

2 solutions

Oliver Papillo
Jan 1, 2017

One Difference is that while $y = x^2$ is continuous, $y = \frac{x^4}{x^2}$ has an asymptote at $x = 0$ , as $\frac{0}{0}$ is indeterminate.

Hjalmar Orellana Soto
Jan 1, 2017

Both of them are parabolas with same geometry, but the first has no point at $(0,0)$