7.1 Write down the coordinates of B and D - NSC Mathematics - Question 9 - 2021 - Paper 1
Question 9
7.1 Write down the coordinates of B and D.
7.2 Calculate the coordinates of C.
7.3 Write down the range of f.
7.4 Given that \( \theta = 14,04^\circ \) and the ta... show full transcript
Worked Solution & Example Answer:7.1 Write down the coordinates of B and D - NSC Mathematics - Question 9 - 2021 - Paper 1
Step 1
Write down the coordinates of B and D.
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Answer
Assuming that the coordinates defined by the graph given indicate points B and D:
Coordinates of B: (x_B, y_B)
Coordinates of D: (x_D, y_D)
From visual inspection of the graph, identify the exact points B and D.
Step 2
Calculate the coordinates of C.
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Answer
To calculate the coordinates of C, you would typically determine where the function intersects the y-axis or the specific x-values that yield the coordinates. Based on the function's graph, identify the value of C from the visual representation.
Step 3
Write down the range of f.
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The range of a function f is defined as all possible output values (y-values). From the graph, observe the highest and lowest points the function reaches:
Range of f: [y_min, y_max] where y_min and y_max are determined from inspecting the graph.
Step 4
Given that \( \theta = 14,04^\circ \) and the tangent to f at T is perpendicular to AE.
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If the tangent at point T is perpendicular to line AE, then the slope of the tangent line at T multiplied by the slope of line AE will equal -1.
Given that angle ( \theta ) indicates the angle of elevation for the tangent line—calculate the slope using ( \tan(\theta) ).
Then calculate the necessary slope of line AE from the tangent relationship.
