Answer:
B.
C.
E.
F.
Step-by-step explanation:
A. no. any log(x) function is increasing. it says to what power I have to put the base to get x. and the bigger x, the bigger also that power number has to be. a log(x) increases much slower than x itself, but it increases.
B. any log(x) can only be calculated for positive x (and not 0).
C. of course. there are no gaps or breaks in a log(x) function. over time, with a growing x, we have to cover every possible y.
D. no. since (0,4) means x=0, this can't be true. as log(0) is power definition undefined (representing minus infinity).
E. yes. see A.
F. yes. for x=1 any log(x) function has to deliver 0 as functional value (to what power do I have to put my base to get 1 ? only base⁰ delivers 1. also 0.725⁰ = 1. therefore, (1,0) is a valid point on the graph.
