1. Complete the table below for each of the functions and then plot the points to help sketch a graph for each.
|
(a) y = 4x (b) y = 4x (c) y = x2 + 1 (d) xy = 4 |
2.
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 |
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 = 3x
x |
y |
-2 |
1 / 9 |
-1 |
|
0 |
|
1 |
|
2 |
9 |
3 |
(b) Sketch the graph.
(c) What name is given to this type of graph?