Question

select the correct answer.
consider function f.
$f(x) = \sqrt{x - 1}$
which graph represents function f?
a. w
b. x
c. y
d. z

Explanation:

Step1: Find domain of $f(x)$

For $\sqrt{x-1}$ to be real, $x-1\geq0$ so $x\geq1$.

Step2: Find key point of $f(x)$

When $x=1$, $f(1)=\sqrt{1-1}=0$. So the graph passes through $(1,0)$.

Step3: Analyze function behavior

As $x$ increases, $\sqrt{x-1}$ increases slowly, so the graph rises rightward.

Answer:

C. Y