The diagram shows the graph of $y = f(x)$ - HSC - SSCE Mathematics Extension 1 - Question 8 - 2018 - Paper 1
Question 8
The diagram shows the graph of $y = f(x)$. The equation $f(x) = 0$ has a solution at $x = w$.
Worked Solution & Example Answer:The diagram shows the graph of $y = f(x)$ - HSC - SSCE Mathematics Extension 1 - Question 8 - 2018 - Paper 1
Step 1
Identify the graph
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Answer
The graph depicts the function y=f(x), which is a parabola opening downwards. The intersection points of the graph with the x-axis correspond to the values where f(x)=0.
Step 2
Locate the solution
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Answer
The problem states that the equation f(x)=0 has a solution at x=w. In the graph, this means identifying the point where the graph intersects the x-axis, which occurs at the horizontal dotted line representing x=w.
