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 is at the vertex of the parabola, which appears to be at the coordinates (-1, -3).
Step 2
Write down estimates for the roots of $f(x) = 0$.
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Answer
The estimates for the roots of the equation f(x)=0 can be determined by observing where the graph intersects the x-axis. The crossings occur approximately at x = -0.75 and x = 2.75.
Step 3
Use the graph to find an estimate for $f(1.5)$.
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Answer
By observing the graph at x = 1.5, the corresponding value of y appears to be around -2.8. Thus, f(1.5)≈−2.8.
