• A Level Maths

Demo

• A Level
• Graph Sketching

1. Sketch the graphs of:

1. $y = 3x^4$
2. $y = \sqrt[3]{x}$

2. Sketch the graph of $$y = x(x+3)(x-2)$$ indicating clearly any intersections with the coordinate axes.

3. Sketch the graph of $$y = (2x+5)(x-3)^2$$ indicating clearly any intersections with the coordinate axes.

4. Sketch the graph of $$y = 3(3-2x)(x+1)(x-1)$$ indicating clearly any intersections with the coordinate axes.

5. Sketch the graph of $$y = \frac{1}{2}(2+5x)(1-x)^2(2+x)$$ indicating clearly any intersections with the coordinate axes.

6. Sketch the graph of $$y = 3(2-x)^3(2+x)$$ indicating clearly any intersections with the coordinate axes.

7. Sketch the graph of $$y = (x+3)^2(x-2)^2$$ indicating clearly any intersections with the coordinate axes.

8. Sketch the graph of $$y = \dfrac{1}{x+1} + 2$$ indicating clearly any intersections with the coordinate axes.

9. Suggest a possible equation for this graph.

$y=-2(x+1)(x-2)(x-5)$

10. Suggest a possible equation for this graph.

$y=(2x+5)(x-1)^3$

11. Suggest a possible equation for this graph.

$y = \dfrac{1}{(x+2)^2}-3$

12. Suggest a possible equation for this graph.

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