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3EM
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Functions and Graphs
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3EM Unit 6 – Functions and Graphs
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3EM 6.1 Graphs of Power Functions and Exponential Functions
16 Topics
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3EM 6.1.1 Conceptual Bridging: Graphs of Power Functions
$$
y=ax
^{n}
where
$$
n=3,2,1,0,-1
and
$$
-2
3EM 6.1.1 Worked Example 1 (Graphs of Power Functions)
3EM 6.1.1 Worked Example 2 (Graphs of Power Functions)
3EM 6.1.1 Worked Example 3 (Graphs of Power Functions)
3EM 6.1.2 Conceptual Bridging: Graphs of Exponential Functions
3EM 6.1.2 Worked Example 1 (Graph of Exponential Function)
3EM 6.1 Practice Now 1 Question 1
3EM 6.1 Practice Now 1 Question 2
3EM 6.1 Practice Now 1 Question 3
3EM 6.1 Practice Now 1 Question 4
3EM 6.1 Practice Now 1 Question 5
3EM 6.1 Practice Now 1 Question 6
3EM 6.1 Practice Now 1 Question 7
3EM 6.1 Practice Now 1 Question 8
3EM 6.1 Practice Now 1 Question 9
3EM 6.1 Practice Now 1 Question 10
3EM 6.2 Graphical Solution and Gradient of the Curve at a Point
8 Topics
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3EM 6.2.1 Essential Steps: Finding the Graphical Solution
3EM 6.2.1 Worked Example 1 (Graphical Solution of Quadratic Function)
3EM 6.2.2 Conceptual Bridging: Gradient of the Curve at a Point (Tangent)
3EM 6.2.2 Essential Steps: Finding the Gradient of the Curve at a Point
3EM 6.2.2 Worked Example 1 (Gradient of a Curve)
3EM 6.2 Practice Now 1 Question 1
3EM 6.2 Practice Now 1 Question 2
3EM 6.2 Practice Now 1 Question 3
3EM 6.3 Applications of Graphs
24 Topics
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3EM 6.3.1 Conceptual Bridging: Distance-Time Graphs
3EM 6.3.1 Worked Example 1 (Distance-Time Graphs)
3EM 6.3.1 Worked Example 2 (Distance-Time Graphs)
3EM 6.3.2 Conceptual Bridging: Speed-Time Graphs
3EM 6.3.2 Worked Example 1 (Speed-Time Graphs)
3EM 6.3.2 Worked Example 2 (Speed-Time Graphs)
3EM 6.3.2 Worked Example 3 (Speed-Time Graphs)
3EM 6.3.3 Conceptual Bridging 1: Conversion of Distance-Time Graph to Speed-Time Graph
3EM 6.3.3 Worked Example 1 (Conversion of Distance-Time Graph to Speed-Time Graph)
3EM 6.3.3 Conceptual Bridging 2: Conversion of Speed-Time Graph to Distance-Time Graph
3EM 6.3.3 Worked Example 2 (Conversion of Speed-Time Graph to Distance-Time Graph)
3EM 6.3.3 Worked Example 3 (Conversion of Distance-Time Graph to Speed-Time Graph)
3EM 6.3.4 Worked Example 1 (Graphs in Practical Situations)
3EM 6.3.4 Worked Example 2 (Graphs in Practical Situations)
3EM 6.3 Practice Now 1 Question 1
3EM 6.3 Practice Now 1 Question 2
3EM 6.3 Practice Now 1 Question 3
3EM 6.3 Practice Now 1 Question 4
3EM 6.3 Practice Now 1 Question 5
3EM 6.3 Practice Now 1 Question 6
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