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Reptile [31]
1 year ago
13

Sketch the graph of each functiony=5+ √x

Mathematics
1 answer:
Shalnov [3]1 year ago
6 0

Given the function:

y=5+\sqrt[]{x}

To sketch the graph, we calculate some points:

For ease of calculation, pick values of x that are perfect squares.

\begin{gathered} \text{When x=0} \\ y=5+\sqrt[]{0} \\ y=5+0 \\ y=5 \\ \implies\text{Point (0,5)} \end{gathered}

Similarly:

\begin{gathered} \text{When x=}4 \\ y=5+\sqrt[]{4} \\ y=5+2 \\ y=7 \\ \implies\text{Point (4,7)} \end{gathered}

Similarly:

\begin{gathered} \text{When x=}9 \\ y=5+\sqrt[]{9} \\ y=5+3 \\ y=8 \\ \implies\text{Point (9,8)} \end{gathered}

Next, draw a line joining the points (0,5), (4,7) and (9,8) as done below:

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