Question

At which ordered pair will the function f(x) = Vx – 4 + 7 begin on the coordinate plane?

Answer 1

Given the function:

$f(x)=\sqrt[]{x-4}+7$

notice that the domain of the function is the set of all real numbers that are equal or greater than 4. This means that the graph starts when x = 4, then:

$\begin{gathered} f(4)=\sqrt[]{4-4}+7=\sqrt[]{0}+7=7 \\ f(4)=7 \end{gathered}$

therefore, the graph of the function f(x) begin on the point (4,7)