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The diagram shows the graph of $y = f(x)$ - HSC - SSCE Mathematics Extension 1 - Question 8 - 2018 - Paper 1

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Question 8

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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 solution to the equation $f(x) = 0$ at $x = w$

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Answer

From the graph of the function y=f(x)y = f(x), the solution to the equation f(x)=0f(x) = 0 can be identified at the point where the curve intersects the x-axis. This intersection point corresponds to x=wx = w. Hence, at x=wx = w, the value of yy is zero, indicating that f(w)=0f(w) = 0.

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