Complete the table and then determine which of the following is the graph of f (x) =ƒ(x) = 3√x + 2 + 4..
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Answer:
The given function is
[tex]f(x)=3\sqrt{x+2}+4\\\\y=3\sqrt{x+2}+4[/tex]
Taking x as an independent variable , and y as a dependent variable we can calculate,few y values for some x values, and then find the required graph.
1.→For, x=-2
y=3 × 0 +4
y=4
Point=(-2,4)
2.→For, x=7
[tex]y=3\times \sqrt{2+7}+4\\\\y=3\times 3+4\\\\y=13[/tex]
Point=(7,13)
→If you will look at Graph A, it passes through (-2,4) as well as (7,13).
Option A----Graph A