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(a) Find the following values: (1, 4), (-5, 0), (1, -6) (9, 6) (b) Graph drawn (B1) (a) Drop in B1 (a) for plotting at least 5 of the points from their table correctly) - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 1
Question 9
(a) Find the following values: (1, 4), (-5, 0), (1, -6) (9, 6) (b) Graph drawn (B1) (a) Drop in B1 (a) for plotting at least 5 of the points from their table c... show full transcript
Worked Solution & Example Answer:(a) Find the following values: (1, 4), (-5, 0), (1, -6) (9, 6) (b) Graph drawn (B1) (a) Drop in B1 (a) for plotting at least 5 of the points from their table correctly) - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 1
Step 1
Find the following values:
Answer
To find the values, we need to evaluate the function at the given points. Let's denote the function as f(x).
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For the point (1, 4):
We find that f(1) = 4.
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For the point (-5, 0):
We find that f(-5) = 0.
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For the point (1, -6):
We check the function again and find that it gives us f(1) = -6.
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For the point (9, 6):
Finally, f(9) = 6.
Collectively, our evaluated values are: (1, 4), (-5, 0), (1, -6), and (9, 6).
Step 2
Graph drawn
Answer
To graph the function, follow these steps:
- Draw the Axes: Start by drawing the x-axis and y-axis on a coordinate plane.
- Plot the Points: Mark the points (1, 4), (-5, 0), (1, -6), and (9, 6) on the graph.
- Connect the Points: Use smooth curves to connect the plotted points, ensuring that the graph reflects the behavior of the function between the points.
- Check for Accuracy: Ensure that the graph accurately represents the given values and does not include any unnecessary line segments.
Step 3
(B1) (a) Drop in B1 (a) for plotting at least 5 of the points from their table correctly
Answer
In order to fulfill this, ensure that at least five specific points are plotted correctly on the graph:
- (1, 4)
- (-5, 0)
- (1, -6)
- (9, 6)
- Any additional point that corresponds correctly to the function being evaluated. Make sure the points are connected with smooth, flowing lines that do not create sharp angles unless they are part of the function’s nature.