Which equation is represented by the graph below ?

C) y = ln(x) + 4  

Step-by-step explanation:

The equation can't be A or B, because they are exponential functions, and they can have negative x-values.

It must be one of the two ln functions, because they can't have negative values of x.

To decide between C and D, insert a value of x that makes it easy to calculate the value of y.

Let x = 1.

For Equation C,

y = ln(1) + 4  = 0 + 4 = 4

For Equation D,

y = ln(1) + 5  = 0 + 5 = 5

We draw a vertical line from x = 1 and see where it intersects the graph.

The intersection is at (1, 4), so the correct equation is

y = ln(x) + 4

linear pair postulates