AIRIL AHMAD Sunday, August 14, 2022 Graph of Functions EN.AIRIL BIN AHMAD
Jun 23, 2015
AIRIL AHMAD
Thursday, April 13, 2023
Graph of Functions
EN.AIRIL BIN AHMAD
AIRIL AHMAD
Thursday, April 13, 2023
Graph
Functions
y = 2x2 -5
y = x + 3 y = x3 + 4
x
y
AIRIL AHMAD
Thursday, April 13, 2023
Example 1:Given the function, y = x + 3. Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 1cm to 1unit on y-axis.
X -4 -3 -2 -1 0 1 2 3 4
Y
When x= - 4 : y= - 4 + 3 = -1
When x= -3 : y= -3 + 3 = 0
When x= -2 : y= -2 + 3 = 1
When x= -1 : y= -1 + 3 = 2
When x= 0 : y= 0 +3 = 3
When x= 1 : y= 1 +3 = 4
When x= 2 : y= 2 +3 = 5
When x= 3 : y= 3 +3 = 6
When x= 4 : y= 4 +3 = 7
-1 0 1 2 3 4 5 6 7
AIRIL AHMAD
Thursday, April 13, 2023
2cm
AIRIL AHMAD
Thursday, April 13, 2023
2cm
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Thursday, April 13, 2023
Y
X
2cm to 1 unit on x-axis1cm to 1unit on y-axis
1 2-1-20
AIRIL AHMAD
Thursday, April 13, 2023
Y
X
1cm to 1unit on y-axis
1 2-1-20
1
2
-1
AIRIL AHMAD
Thursday, April 13, 2023
Example 1:Given the function, y = x + 3. Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 1cm to 1unit on y-axis.
X -4 -3 -2 -1 0 1 2 3 4
Y
When x= - 4 : y= - 4 + 3 = -1
When x= -3 : y= -3 + 3 = 0
When x= -2 : y= -2 + 3 = 1
When x= -1 : y= -1 + 3 = 2
When x= 0 : y= 0 +3 = 3
When x= 1 : y= 1 +3 = 4
When x= 2 : y= 2 +3 = 5
When x= 3 : y= 3 +3 = 6
When x= 4 : y= 4 +3 = 7
-1 0 1 2 3 4 5 6 7
AIRIL AHMAD
Thursday, April 13, 2023
Y
X
1 2-1-20
1
2
-1
X -2
Y 1
-1
2
y = x +
3
AIRIL AHMAD
Thursday, April 13, 2023
X -4 -3 -2 -1 0 1 2 3 4
Y
When x=-4 : y= 2x(-4) + 1 = -7
When x=-3 : y= 2x(-3) + 1 = -5
When x=-2 : y= 2x(-2) + 1 = -3
When x=-1 : y= 2x(-1) + 1 = -1
When x= 0 : y= 2x(0) + 1 = 1
When x= 1 : y= 2x(1) + 1 = 3
When x= 2 : y= 2x(2) + 1 = 5
When x= 3 : y= 2x(3) + 1 = 7
When x= 4 : y= 2x(4) + 1 = 9
-7 -5 -3 -1 1 3 5 7 9
Example 2:Given the function, y = 2x + 1. Copy and complete the table. Draw a graph based on 2cm to 1 unit on x-axis and 1cm to 1unit on y-axis.
AIRIL AHMAD
Thursday, April 13, 2023
Red Equation : y=x+3Blue Equation : y=2x+1
x
y
AIRIL AHMAD
Thursday, April 13, 2023
X -4 -3 -2 -1 0 1 2 3 4
Y 14 10 6 2 -2 -6 -10 -14 -18
Example 3:
Given the function, y = -4x - 2. Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 1cm to 2 units on y-axis.
X -4 -3 -2 -1 0 1 2 3 4
Y
Example 4:Given the function, y = -2x + 2. Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 1cm to 2 units on y-axis.
AIRIL AHMAD
Thursday, April 13, 2023
x
y
Red equations : y= -4x-2Blue equations: y= -2x+4
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Thursday, April 13, 2023
AIRIL AHMAD
Thursday, April 13, 2023
X -4 -3 -2 -1 0 1 2 3 4
Y 12 5 0 -3 -4 -3 0 5 12
Example 5:
Given the function, y = x2 - 4. Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 1cm to 2 units on y-axis.
X -4 -3 -2 -1 0 1 2 3 4
Y -4 3 8 11 12 11 8 3 -4
Example 6:Given the function, y = 12 -x2 . Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 1cm to 2units on y-axis.
AIRIL AHMAD
Thursday, April 13, 2023
AIRIL AHMAD
Thursday, April 13, 2023
x
y
Red Equation : y= x²+2Blue Equation : y= 6-x²
AIRIL AHMAD
Thursday, April 13, 2023
X -3 -2 -1 0 1 2 3
Y
Example 7:
Given the function, y = x3 - 2. Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 2cm to 5 units on y-axis.
X -3 -2 -1 0 1 2 3
Y
Example 8:Given the function, y = 10 –x3 . Copy and complete the table. Draw a graph based on the data with 2cm to 1 unit on x-axis and 2 cm to 5 units on y-axis.
AIRIL AHMAD
Thursday, April 13, 2023
t
x
Red Equation : y= x³+2Blue Equation : y= 10 - x³
AIRIL AHMAD
Thursday, April 13, 2023
Use your finger to represent:
Y=x
Y=-x
Y= x2
Y= -x2
Y= x3
Y= -x3
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Thursday, April 13, 2023
X -3 -2 -1 0 1 2 3
Y 38 14 0 -6 -4 6 24
Example 9:
Given the function, y = 4x2-2x-6. Copy the table and draw a graph based on the data with 2cm to 1 unit on x-axis and 2cm to 5 units on y-axis.
From the graph, find the value of y when:
a. X= 2 b. x= 2.2 c. x= -2.5 d. x= -1.5
From the graph, find the value of x when:
e. y= 10 f. y= 20 g. y= -5 h. Y = 15
AIRIL AHMAD
Thursday, April 13, 2023