Two graphs from value tables
Two graphs from value tables
Secondary 2
14 marks
TGM Original Questions
Optional extension
For \(y=x^2+4x-5\):
- find the missing table value \(p\)[2]
- plot it for \(-6\le x\le2\)[2]
- estimate
- \(y\) at \(x=-4.5\),[2]
- \(x\) when \(y=-4\), and[2]
- the least value.[2]
- plot \(y=-x-1\) using its table[2]
- solve the intersection equation.[2]
| \(x\) | -\(6\) | -\(5\) | -\(4\) | -\(3\) | -\(2\) | -\(1\) | \(0\) | \(1\) | \(2\) |
|---|---|---|---|---|---|---|---|---|---|
| \(y\) | \(7\) | \(0\) | -\(5\) | \(p\) | -\(9\) | -\(8\) | -\(5\) | \(0\) | \(7\) |
| \(x\) | -\(6\) | -\(2\) | \(2\) |
|---|---|---|---|
| \(y=-x-1\) | \(5\) | \(1\) | -\(3\) |
For graph readings, give values to the nearest 0.1 unit where an exact value cannot be read from the grid. Use the labelled axes and grid provided.
Solution:
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Answer:(a) \(p=-8\) (c)(i) \(-2.8\) (ii) \(x\approx-4.2,0.2\) (iii) \(-9\) (d)(ii) \(x\approx-5.7,0.7\). (b) See the completed graph.
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