note math form 3 - 13b graf intro
TRANSCRIPT
AIRIL AHMAD
Thursday, April 13, 2023
Graph of Functions
EN.AIRIL BIN AHMAD
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Graph
Functions
y = 2x2 -5
y = x + 3 y = x3 + 4
x
y
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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
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2cm
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2cm
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Y
X
2cm to 1 unit on x-axis1cm to 1unit on y-axis
1 2-1-20
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Y
X
1cm to 1unit on y-axis
1 2-1-20
1
2
-1
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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
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Thursday, April 13, 2023
Y
X
1 2-1-20
1
2
-1
X -2
Y 1
-1
2
y = x +
3
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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.
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Red Equation : y=x+3Blue Equation : y=2x+1
x
y
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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.
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x
y
Red equations : y= -4x-2Blue equations: y= -2x+4
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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.
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x
y
Red Equation : y= x²+2Blue Equation : y= 6-x²
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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.
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t
x
Red Equation : y= x³+2Blue Equation : y= 10 - x³
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Use your finger to represent:
Y=x
Y=-x
Y= x2
Y= -x2
Y= x3
Y= -x3
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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