Maths · Graphs of simple functions
dentify a possible graph for function given by =\sqrt{(\boldsymbol{x}-\mathbf{2}
dentify a possible graph for function \( \boldsymbol{f} \) given by \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{(\boldsymbol{x}-\mathbf{2})}+\mathbf{1} \) \begin{tabular}{|l|l|l|l|} \hline \( \mathrm{a} \) & & & \( \mathrm{b} \) & \\ \hline & & & & \\ \hline & & & & \\ \hline \( \mathrm{c} \) & & & \( \mathrm{d} \) & \\ & & & & \\ \hline & & & & \\ & & & \\ \hline \end{tabular}
- A. graph a
- B. graph b
- C. graph c
- D. graph d
Step-by-step solution
The function f(x) = √(x-2) + 1 is the square root function shifted right by 2 units and up by 1 unit. Its domain is x ≥ 2 and range is y ≥ 1, starting at point (2,1). Among the given graphs, only graph a shows this starting point and the correct increasing shape.
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