How to find the equation of a cubic function given 3 points?

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.