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Complete:
(1) if (a , b) = (3 , 5) then a = …… …… b = …… ……
3 - 5
(2) if (a - 3 , b + 4) = (2 ,0) then a = ……….. , b = … …
5 /- 4
(3) If (a + 5 ,3) = (8 , b - 1) then a = ……. , b = ……………..
3 - 4
(4) If (x5 , y + 1) = (32 , ∛27), then x = ……. y = ……..
2 - 2
5
5
(7) If n (X × Y ) = 24 and n (X) = 6, then n (Y) = ……………
4
(8) If ( X × Y ) = {(2 , 6) , (2 , a) , (3 , 6) , (3 ,a), (5,6), (5 ,a)}, then X = ……….
{2 , 3 , 5}
3
(10) If the point (a , 4) lies on Y- axis, then a = …………….
zero
16
9 - 6
(13) If x = {a , b}then x × x = …………………….
{(a , a) , (a , b) , (b , a) , (b, b)}
(14) If ( a + 1 , b a) = (3 ,6 ) then a = ………. , b = …………
2 - 3
(15) If (6 , b -3) = (2 - a , -1) then a + b = …………..
-2
5 - 3
3
1
>
(20) If the point (2 , a) located on x axis then a = …………
zero
7- If X = { 3 ,4, 8 } then find, X x X and represent it with an arrow diagram.
10) Complete:
a = 2 b = 2 × 2 +1 = 5<BR>
a = 3 b= 2 × 3 +1 = 7<BR>
a = 4 b = 2 × 4 +1 = 9 <BR>
R = { (2,5) , (3,7) , (4 , 9)
1-The function f(x) = 3 then f(3) – f(4) = ….
zero
R
2
zero
1-If X = {1 , 2 , 3 , 4} , Y = {1 , 3 , 5 , 7} show which of the following relations represents a function from X to Y and mention its range if it is a function:
R = { (0,5) , (1,4) , (2,3) , (3,2)
R is a function
The range = { 5,4,3,2}
7-In the opposite figure is R a function or not. why?
X = { 2 ,3 ,4 ,7}
R = { (2,2) , (3 ,4) , (4 ,3) , (7 , 4) }
R is a function because for every element in X we have one and one image
1
2
Complete the following:
second
2-If : f(x) = 0 of ............ degree.
zero
zero
first
5-If f( x) = x + 1, then f (-2) = .............
-1
furth
8-If f: f (x) = 5 - x is a polynomial function, then f (9) = ..........
- 4
10- The domain of the function f : f (x) = x + 1 is. .........
R
R - {0}
3
4
zero
15-If the function f : f (x) = 5, then f (3) –f (-3) = …… …..
zero
16- If the function f : f (x)= -2, then f ( x +2) = ………
- 2
3
18-The linear function f (x) = 2 x - 1 is represented by a straight line which intersects Y-axis at the point ....... .........
(0 , -1 )
19-The linear function f (x) = 5 x + 10 is represented by a straight line which intersects X-aixs at the point .............
(-2 , 0 )
x = 0
x = 0
(0 , 0 )
(0 , 0 )
(0 , 2)
4-Graph the function f(x) = 2x
3-Represent graphically f(x) = 3x -1
1
2
3
4
lesson one and two: Ratio and proportion