Given fx loga x What are the possible values for a For what

Given: f(x)= log_a x. What are the possible values for a? For what values of a will the graphs of f(X) be increasing? Write the equation for f^-1 (x) and state the domain and range. State any intercept(s) and asymptote(s) that exist for f(x). If a > 1, then as x rightarrow 0^+, f(X) rightarrow _____. Write an equation of the asymptote(s) for each function. f(x)= 3^x+1-4

Solution

f(x) = 3^x+1 - 4

Asymptotes:

horizontal asymtote: -4 + 3^x+1 ----- -4 as x---- -infinity

vertical : y = 3^x+1 - 4