1. Complete the table below for each of the functions and then plot the points to help sketch a graph for each.

x
y
-2
 
-1
 
0
 
1
 
2
 

(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?