1.
Graph A |
Graph C |
(a) Which diagram shows: (i) A hyperbola? (ii) A parabola? (iii) A growth curve? (b) What is the equation of graph D? (c) Which is the equation of the graph in A? (i) y = (x − 2)2 (iii) y = 2x − x2 (ii) y = x (x − 2) (iv) y = -x2 + 2 (d) Give a possible equation for the curve in graph B. (e) What is the equation of the circle in graph C? |
Graph D |
Graph B |
Graph E |
2. Sketch graphs of the following functions, clearly marking the intercepts.
(a) y = 4x
(b) y = 4
(c) x 2 + y 2 = 16
(d) xy = 4
3. (a) Complete the table of values for the function xy = − 4
x |
y |
-2 |
2 |
-1 |
|
0 |
|
1 |
|
2 |
(b) Sketch the graph of the function.
(c) What name is given to this type of graph?
4. (a) Complete the table of values for the function y = 2x
x |
y |
-2 |
0.25 |
-1 |
|
0 |
|
1 |
|
2 |
|
3 |
(b) Sketch the graph.