Estimating values and a maximum from a graph

Estimating values and a maximum from a graph

Secondary 2
10 marks
TGM Original Questions

Optional extension

For \(y=5+2x-x^2\):

  1. complete the missing table values \(m,n\)[2]
  2. draw the graph for \(-3\le x\le4\)[2]
  3. estimate
    1. \(y\) when \(x=0.5\),[2]
    2. the values of \(x\) when \(y=-3\), and[2]
    3. the \(x\)-coordinate of the maximum.[2]
\(x\)-\(3\)-\(2\)-\(1\)\(0\)\(1\)\(2\)\(3\)\(4\)
\(y\)-\(10\)\(m\)\(2\)\(5\)\(6\)\(n\)\(2\)-\(3\)

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) \(m=-3,n=5\) (c)(i) \(5.8\) (ii) \(x=-2,4\) (iii) \(x=1\). (b) See the completed graph.

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