##### Edexcel 8MA0/01 Jun 2023 AS Exam Q. 4 : 5 marks in 6:00 min.

##### Edexcel 8MA0/01 Apr 2023 AS Mock Q. 4 c : 4 marks in 4:48 min.

##### Edexcel 8MA0/01 Jun 2022 AS Exam Q. 7 : 7 marks in 8:24 min.

##### Edexcel 9MA0/02 Mar 2020 A2 Mock Q. 8 : 9 marks in 10:48 min.

##### Edexcel 9MA0/01 Jun 2019 A2 Exam Q. 13 a : 3 marks in 3:36 min.

##### Edexcel 9MA0/01 Jun 2019 A2 Shadow Exam Q. 13 a : 3 marks in 3:36 min.

##### Edexcel 8MA0/01 Jun 2019 AS Exam Q. 7 : 8 marks in 9:36 min.

##### Edexcel 8MA0/01 Jun 2017 AS Sample Exam Q. 13 : 7 marks in 8:24 min.

##### Explore the roots and intercepts of cubic graphs

##### Explore the roots and shapes of quartic functions

##### Explore reciprocal graphs

##### Matching Polynomials

Selecting the order of the curve, and using the sliders to match the blue dashed curve to the green curve will reveal the equation in each case, but can you say what the equation is before making the match?

##### Coordinate Geometry - Rational Curves - y=(x-a)/(x-b)

Change the values of $\color{blue}{a}$ and $\color{blue}{b}$ and observe the effect this has on the curve and its asymptotes.

##### Coordinate Geometry - Asymptotes - Asymptotes of y=a/(x-b)

The graph displayed is described by the Cartesian equation: $\color{blue}{y = {{a} \over {x - b}}}$.

Change the values of $\color{blue}{a}$ and $\color{blue}{b}$ and observe the effect this has on the curve and its asymptotes. What are the equations of these asymptotes?

##### Odd and Even Functions

Functions with the property that f(-a) = -f(a) for all values of a are called odd.

Drag the sample point to help decide whether each of the 10 functions given below are odd, even or neither.

What geometric properties do odd and even functions have?