Everything Maths Grade 10

SOLUTION

Step 1: Substitute values into the equation

x  2  1 0 1 2

f(x)  2  1 0 1 2

Step 2: Plot the points and join with a straight line curve

From the table, we get the following points and the graph:(2;2);(1;1);(0; 0);(1; 1);(2; 2)

 3  2  1 1 2 3

 3

 2

 1

1

2

3

0

f(x) =x

x

y

Step 3: Determine the domain and range

Domain:x 2 R

Range:f(x) 2 R

Step 4: Determine the value ofxfor whichf(x) = 4

From the graph we see that whenf(x) = 4,x= 4. This gives the point(4; 4).

Step 5: Determine the intercept

The functionfintercepts the axes at the origin(0; 0).

Functions of the formy=mx+c EMA4B

Investigation: The effects ofmandcon a straight line graph

On the same set of axes, plot the following graphs:

1.y=x 2

2.y=x 1

3.y=x

4.y=x+ 1

5.y=x+ 2

Use your results to deduce the effect of different values ofcon the graph.

Chapter 6. Functions 151