Q1
Answer
Sketch the graphs of:
  1. $y = 3x^4$
  2. $y = \sqrt[3]{x}$

Q2
Answer
Sketch the graph of $$y = x(x+3)(x-2)$$ indicating clearly any intersections with the coordinate axes.





Q3
Answer
Sketch the graph of $$y = (2x+5)(x-3)^2$$ indicating clearly any intersections with the coordinate axes.





Q4
Answer
Sketch the graph of $$y = 3(3-2x)(x+1)(x-1)$$ indicating clearly any intersections with the coordinate axes.





Q5
Answer
Sketch the graph of $$y = \frac{1}{2}(2+5x)(1-x)^2(2+x)$$ indicating clearly any intersections with the coordinate axes.





Q6
Answer
Sketch the graph of $$y = 3(2-x)^3(2+x)$$ indicating clearly any intersections with the coordinate axes.





Q7
Answer
Sketch the graph of $$y = (x+3)^2(x-2)^2$$ indicating clearly any intersections with the coordinate axes.





Q8
Answer
Sketch the graph of $$y = \dfrac{1}{x+1} + 2$$ indicating clearly any intersections with the coordinate axes.







Q9
Answer
Suggest a possible equation for this graph.
$y=-2(x+1)(x-2)(x-5)$
Q10
Answer
Suggest a possible equation for this graph.
$y=(2x+5)(x-1)^3$
Q11
Answer
Suggest a possible equation for this graph.
$y = \dfrac{1}{(x+2)^2}-3$
Q12
Answer
Suggest a possible equation for this graph.
$y=(x+1)(2-x)(2x-1)^3$