Question

11. (12 points) Consider the function $f(x) = \log_6(x+1) - 2$. (a.) Graph $f(x)$ using a proper sequence of transformations. \textit{(Recall:} The order of transformations does matter.) Be sure to label all asymptotes and at least 2 points in the final graph on the right. You are not allowed to use a calculator to find the points you label on your graph. Parent Function (b.) State the domain of $f(x)$. (c.) Determine the end behavior of $f(x)$. (d.) Does the function have an inverse? Justify your answer. $f(x) = \log_6(x+1) - 2$ (e.) If $f(x)$ has an inverse, state the domain and range of $f^{-1}(x)$. Otherwise, leave this question blank.

          11. (12 points) Consider the function $f(x) = \log_6(x+1) - 2$.
(a.) Graph $f(x)$ using a proper sequence of transformations. \textit{(Recall:} The order of transformations does
matter.) Be sure to label all asymptotes and at least 2 points in the final graph on the right.
You are not allowed to use a calculator to find the points you label on your graph.
Parent Function
(b.) State the domain of $f(x)$.
(c.) Determine the end behavior of $f(x)$.
(d.) Does the function have an inverse? Justify your answer.
$f(x) = \log_6(x+1) - 2$
(e.) If $f(x)$ has an inverse, state the domain and range of $f^{-1}(x)$. Otherwise, leave this question blank.

11. (12 points) Consider the function f(x) = log6(x+1) - 2.
(a.) Graph f(x) using a proper sequence of transformations. (Recall: The order of transformations does
matter.) Be sure to label all asymptotes and at least 2 points in the final graph on the right.
You are not allowed to use a calculator to find the points you label on your graph.
Parent Function
(b.) State the domain of f(x).
(c.) Determine the end behavior of f(x).
(d.) Does the function have an inverse? Justify your answer.
f(x) = log6(x+1) - 2
(e.) If f(x) has an inverse, state the domain and range of f^-1(x). Otherwise, leave this question blank.

Added by Lisa G.

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