Key features of a cubic graph

12 questions

1. A cubic is an equation, graph, or sequence where the highest __________ of the variable is 3.
2. How many solutions can a quadratic equation have?
3. What is y-intercept of this quadratic graph?
4. What are the roots of this quadratic equation?
5. The point (3, -1) is the ___ point of this quadratic curve.
6. Factorise x^2-6x.
7. The point on the graph of a curve where, as x increases, the y values change from decreasing to increasing (or vice versa) is called the __________.
8. How many roots can the graph of a cubic equation have?
9. This is the graph of y=x^{3}-9x^{2}+24x-16. Which y values make this statement true? y=x^{3}-9x^{2}+24x-16 has two solutions.
10. This is the equation y=x^{3}-9x^{2}+24x-16. The root x=4 is a __________.
11. The equation y=x^3-21x+20 factorises to y=(x-1)(x-4)(x+5). What are the roots of the equation?
12. x=-5 and x=0 are two roots of y=x^3+2x^2-15x. The third root is x=___.

License: OGL