Problem
What are the features of the function \( f(x)=2 \log _{3}(x+1) \) graphed below? The function \( f(x) \) is function with a asymptote of The range of the function is and it is on its domain of The end behavior on the LEFT side is as and the end behavior on the RIGHT side is as Submit Answer
Solution
Step 1 ：\(f(x) = 2 \log_3 (x + 1) \)
Step 2 ：asymptote: x = -1
Step 3 ：range: (-\infty, \infty)
Step 4 ：domain: (-1, \infty)
Step 5 ：left end behavior: \(\lim_{x \to -1^+} f(x) = -\infty \)
Step 6 ：right end behavior: \(\lim_{x \to \infty} f(x) = \infty \)
