H1 Lineair en exponentieel

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 3

Objectives C1

1. I can make a linear formula when I have: a table, a line in a coordinate system, two given points or when the line is parallel to another line 

2. I can calculate the point of intersection from two linear functions

3. I know the difference between a linear, quadratic, constant and exponential functions

3. I can rearrange a formula and substitute 

4. I can make an exponential function when I have a table or a graph 

5. I can find a growth-factor for different units of time 

Given m(x) = 3x-4
Which is true?

1. each step to the right m is going up 4
2. the fixed amount is 4
3. m is falling
4. m passes (0, -4)

m(x)= 3x-4
which are correct?

1. the gradient is 3
2. the y intercept is -4
3. the fixed amount is 3
4. each step to the right the graph is going down 4

Calculate the gradient when in the table the top row is a step of 3 while the bottom row descends 12

write down the function of the blue line

The function at this table is

x	0	1	2	3
y	1	3	5	7

1. y=x+2
2. y=2x+1
3. y=x+1
4. y=1+2x

The function at this table is

x	1	2	3	4
y	5	1	-3	-7

1. y=5-4x
2. y=-4x+5
3. y=9-4x
4. y=-4x+9

Maak een formule bij
de volgende tabel:

x	0	2	4
y	18	14	10

a linear line passes (2,10) and (3, 14). Write down the function

A linear line passes (2,10) and (6, 20). Write down the function

What kind of function fits this table? Show why

x	0	1	2
y	2	3	4,5

Write down the function

x	0	1	2
y	2	3	4,5

Write down the function

x	0	1	2
y	4	8	16

The growth factor per day is 2.
What is the growth factor per 3 days?

dag	0	1	2	3
aantal	3	6	12	24

Per day g=2
write down g for 10 days

dag	0	1	2	3
aantal	3	6	12	24

calculate the point of intersection of the functions
l(x)=3x-4 en f(x)=5x+6

Rearrange 3x + 2y = 10 into y=

solve the simultaneous equations
4y = 3x + 9
x = 2y + 5