What's That Graph?
Can you work out which processes are represented by the graphs?
Can you work out which processes are represented by the graphs?
This problem challenges you to find cubic equations which satisfy different conditions.
Sketch the members of the family of graphs given by $y = a^3/(x^2+a^2)$ for $a=1, 2$ and $3$.
This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.
Can you work out the equations of the trig graphs I used to make my pattern?
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.
The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more and more square as n increases?