Question

Consider function f.



Which graph represents function f?

Answer 1

Answer:

The correct answer is graph Y

Step-by-step explanation:

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Answer 2

The graph which represents function $f(x)=\sqrt{x-1}$ is the one which is given in option $(c)$.

What is Graph?

Graph a diagram in which a line or a curve shows the relationship between two quantities, measurements

We have,

$f(x)=\sqrt{x-1}$

For the function to be defined the numerator must not be equals to zero and there must be a positive value inside the square root.

First we will find domain for  $y=\sqrt{x-1}$  now a list of $x$  values can be picked.

$x-1 > 0$

$x > 1$

Now, Graph using the end point and a few selected points.

       1.41$\left\begin{array}{ccc}x & y\\1&0\\2&1\\3 &1.41\end{array}\right$

Now, when we will plot these points on graph we will get the same raph as given in option $(c)$.

Hence, we can say that The graph which represents function $f(x)=\sqrt{x-1}$ is the one which is given in option $(c)$.

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