1
1
The table shows some values of
x
−3
−2.5
y
−19
−9.1
−2
.
−1.5
−1
0
1
1.5
2
2.5
0.1
1
−1
−3
−2.1
1
7.1
3
(a) Complete the table of values.
[2]
(b) Draw the graph of
for
.
[4]
(c) A straight line through (0, –17) is a tangent to the graph of
.
2
(i)
On the grid, draw this tangent.
[1]
(ii) Find the co-ordinates of the point where the tangent meets your graph.
( .................... , .................... ) [1]
(iii) Find the equation of the tangent.
Give your answer in the form y = mx + c.
y = ...................................................
(d) By drawing a suitable straight line on the grid, solve the equation
[3]
.
x = .................... or x = .................... or x = .................... [4]
[Total: 15]
2
(a)
Complete this table of values for y = 2x.
x
y
0
0.125
0.5
1
2
3
2
4
8
[2]
3
(b) On the grid, draw the graph of y = 2x for −3 ≤ x ≤ 3.
y
8
7
6
5
4
3
2
1
–4
–3
–2
–1
0
1
2
3
x
–1
[4]
(c)
Use your graph to solve 2x = 5.
Answer(c) x =...................................................
[1]
(d) Find the equation of the line joining the points (1, 2) and (3, 8).
Answer(d) ...................................................
[3]
4
(e) By drawing a suitable line on your graph, solve
.
Answer(e) x =.............................. or x = ..............................
[2]
[Total: 12]