Question

Save-10810--106) Identify the function represented by the graph.A) f(x) = x + 3B) f(x) - VX-3C) f(x) - Vx+3D) f(x) - VX-3

Answer 1

From the given graph, let's identify the function which represents the graph.

The graph is the graph of a square root function.

Now, apply the parent function of a square root function:

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

We can see the parent function starts from the origin.

Comparing the given graph with the graph of the parent function, we can see there a shift 3 units to the left.

Now, apply the transformation rule for functions.

After a translation 3 units left, we have:

$f(x)=\sqrt{x+3}$

Therefore, the function represented by the graph is:

$f(x)=\sqrt{x+3}$

ANSWER: A

$f(x)=\sqrt{x+3}$