Review question

# Which of these quintic equations fit this graph? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8160

## Suggestion

Which one of the following equations could possibly have the graph given below?

1. $y = (3-x)^2(3+x)^2(1-x)$;

2. $y = -x^2(x-9)(x^2-3)$;

3. $y = (x-6)(x-2)^2(x+2)^2$;

4. $y = (x^2-1)^2(3-x)$.

If the curve touches the $x$-axis at $x=a$, what do we know about the equation of the curve?

What happens as $x$ approaches $\pm \infty$ for each of these equations?