Year 11 Maths - Methods Functions, relations and transformations

Piecewise-Devined Functions

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Questions

Question 1

28525

Sketch the hybrid function

\(y = \left\{ {\begin{array}{*{20}{c}}1&{0 \le x \le 2}\\{1 - {x^2}}&{ - 2 \le x < 0}\end{array}} \right.\)

Answer

As shown in diagram

Worked Solution

\begin{aligned}
&\text {In the domain }-2 \leq x<0 \text { the parabola }\\
&y=1-x^{2} \text { is drawn. In the domain }\\
&0 \leq x \leq 2 \text { the line } y=1 \text { is drawn. }
\end{aligned}

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