Answer:
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
