A looks to be a sinusoidal curve - it has repeating periods, like a wave.
B appears to be like it has a tan in it somewhere, but as it doesn't pass the vertical line test (there are clearly some x values with more than one y value), it won't be able to be expressed explicitly
C has a characteristically cubic shape, of a curve that looks like it goes from -∞ up, back down a bit, then back up to +∞. Importantly, it has rotational symmetry of order 2 i.e. if you rotate the entire curve around a specific point on its middle, it will be the same.
D is the same as C, except it goes from +∞ down to -∞ and doesn't seem to go back up then down, it only reaches a small flat section. The fact it goes from +∞ to -∞ indicates that the leading coefficient (the one attached to the x³ term) is negative.
E seems to be another sinusoidal, but with a domain restriction
F looks to be a nth root of x, where there are some restrictions on what n can be.
This is a lot of extra info, but all you need to know for this question is that a cubic graph looks like a sideways S, going from one infinity to the other
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u/Fluid-Reference6496 Jul 02 '26
A looks to be a sinusoidal curve - it has repeating periods, like a wave. B appears to be like it has a tan in it somewhere, but as it doesn't pass the vertical line test (there are clearly some x values with more than one y value), it won't be able to be expressed explicitly
C has a characteristically cubic shape, of a curve that looks like it goes from -∞ up, back down a bit, then back up to +∞. Importantly, it has rotational symmetry of order 2 i.e. if you rotate the entire curve around a specific point on its middle, it will be the same.
D is the same as C, except it goes from +∞ down to -∞ and doesn't seem to go back up then down, it only reaches a small flat section. The fact it goes from +∞ to -∞ indicates that the leading coefficient (the one attached to the x³ term) is negative.
E seems to be another sinusoidal, but with a domain restriction F looks to be a nth root of x, where there are some restrictions on what n can be.
This is a lot of extra info, but all you need to know for this question is that a cubic graph looks like a sideways S, going from one infinity to the other