The graph of $y = f(x)$ is drawn on the grid - Edexcel - GCSE Maths - Question 11 - 2017 - Paper 1
Question 11
The graph of $y = f(x)$ is drawn on the grid.
(a) Write down the coordinates of the turning point of the graph.
(b) Write down estimates for the roots of $f(x) = 0... show full transcript
Worked Solution & Example Answer:The graph of $y = f(x)$ is drawn on the grid - Edexcel - GCSE Maths - Question 11 - 2017 - Paper 1
Step 1
Write down the coordinates of the turning point of the graph.
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Answer
The turning point of the graph occurs at the vertex of the parabola. From the graph, the coordinates of the turning point are approximately (1,−3).
Step 2
Write down estimates for the roots of $f(x) = 0$.
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Answer
The roots of the graph can be estimated by observing where the graph intersects the x-axis. The estimates for the roots are approximately (−0.75,2.75).
Step 3
Use the graph to find an estimate for $f(1.5)$.
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Answer
By evaluating the graph at x=1.5, the value of f(1.5) can be estimated to be approximately −2.8.
