Question

Determine the function which corresponds to the given graph. The asymptote is x = -1.

Answer 1

y = log(x + 1)

Explanation:

Given graph represents a logarithmic graph.

Let the equation of the graph is represented by the logarithmic graph,

y = log(x + b)

This graph passes through origin (0, 0),

For the given point (0, 0),

0 = log(0 + b)

log(1) = log(b)

b = 1

Therefore, the function that corresponds the graph will be,

y = log(x + 1)