Question

What function is graphed below? graph begins in the fourth quadrant and is increasing quickly. As the graph crosses the point 1, 3, the graph does not increase as fast. The graph continues to increase slowly throughout the first quadrant.

Answer 1

The function that is represented in the graph is:

`f(x)=\log x+3`

Explanation:

As we know that the graph of a function log(x) is strictly increasing in the fourth quadrant and after x=1 it increases slowly but continues to increase throughout the first quadrant.

Now, it is given that the:

• graph begins in the fourth quadrant and is increasing quickly.

• graph crosses the point (1, 3) , the graph does not increase as fast after that.
• The graph continues to increase slowly throughout the first quadrant.

Hence, the function that is defined above is:

`f(x)=\log x+3`