Question
Determine whether the points (a) $(3,2)$, (b) $(1,1)$, and $(\mathrm{c})$ $(-5,2)$ lie on the graph of $f(x)=\sqrt{x+1}$, without referring to a picture of the graph of $f$.
Step 1
We do this by substituting $x=3$ into the function and checking if $f(3)=2$. \begin{align*} f(3) &= \sqrt{3+1} \\ &= \sqrt{4} \\ &= 2 \end{align*} Since $f(3)=2$, the point (a) $(3,2)$ lies on the graph of $f(x)=\sqrt{x+1}$. Show more…
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