Question 1

For the given function $f(x)$, find $f^{-1}(x)$ and graph the function and its inverse.
-$f(x)=5^{x}$

A) $ f(x)=5^{x}, f^{-1}(x)=\log _{5} x $

B) $ f(x)=5^{x}, f^{-1}(x)=\log _{5} x $

C) $ f(x)=5^{x}, f^{-1}(x)=\log _{5} x $

D) $ f(x)=5^{x}, f^{-1}(x)=\log _{5} x $

Accepted Answer

The answer of For the given function $f(x)$, find $f^{-1}(x)$...

Question 2

For the given function $f(x)$, find $f^{-1}(x)$ and graph the function and its inverse.
-$ f(x)=\left(\frac{5}{2}\right)^{x} $

A) $ f(x)=\left(\frac{5}{2}\right)^{x}, f^{-1}(x)=\log _{5 / 2} x $

B) $ f(x)=\left(\frac{5}{2}\right)^{x}, f^{-1}(x)=\log _{5 / 2} x $

C) $ f(x)=\left(\frac{5}{2}\right)^{x}, f^{-1}(x)=\log _{5 / 2} x $

D) $ f(x)=\left(\frac{5}{2}\right)^{x}, f^{-1}(x)=\log _{5 / 2} x $

Accepted Answer

The answer of For the given function $f(x)$, find $f^{-1}(x)$...

Question 3

Graph the piecewise function
-$$ f(x)= \begin{cases}2^{x}+1 & \text { if } x>0 \ -\frac{1}{4} x+2 & \text { if } x \leq 0\end{cases}$$
A)

B)

C)

D)

Accepted Answer

The answer of Graph the piecewise function
-\[ f(x)= \begin{cases}2^{x}+1 &...

Question 4

Graph the piecewise function
-$ f(x)=\left\{\begin{array}{lr}\log (x-3)+1 & \text { if } x>3 \ (x-3)^{2} & \text { if } x \leq 3\end{array}\right. $
A)

B)

C)

D)

Accepted Answer

The answer of Graph the piecewise function
-\( f(x)=\left\{\begin{array}{lr}\log (x-3)+1 &...

Quiz 9: Logarithmic and Exponential Functions

Graph the piecewise function - $f(x) = \begin{cases}2^{x}+1 & \text { if } x>0 \\ -\frac{1}{4} x+2 & \text { if } x \leq 0\end{cases}$

Graph the piecewise function - $f(x) =\left\{\begin{array}{lr}\log (x-3) +1 & \text { if } x>3 \\ (x-3) ^{2} & \text { if } x \leq 3\end{array}\right.$

Quiz 9: Logarithmic and Exponential Functions

For the given function f(x) f(x) f(x) , find f−1(x) f^{-1}(x) f−1(x) and graph the function and its inverse. - f(x) =5xf(x) =5^{x}f(x) =5x

For the given function f(x) f(x) f(x) , find f−1(x) f^{-1}(x) f−1(x) and graph the function and its inverse. - f(x) =(52) x f(x) =\left(\frac{5}{2}\right) ^{x} f(x) =(25​) x

Graph the piecewise function - f(x) ={2x+1 if x>0−14x+2 if x≤0 f(x) = \begin{cases}2^{x}+1 & \text { if } x>0 \\ -\frac{1}{4} x+2 & \text { if } x \leq 0\end{cases}f(x) ={2x+1−41​x+2​ if x>0 if x≤0​

Graph the piecewise function - f(x) ={log⁡(x−3) +1 if x>3(x−3) 2 if x≤3 f(x) =\left\{\begin{array}{lr}\log (x-3) +1 & \text { if } x>3 \\ (x-3) ^{2} & \text { if } x \leq 3\end{array}\right. f(x) ={log(x−3) +1(x−3) 2​ if x>3 if x≤3​

Graph the piecewise function - $f(x) = \begin{cases}2^{x}+1 & \text { if } x>0 \\ -\frac{1}{4} x+2 & \text { if } x \leq 0\end{cases}$

Graph the piecewise function - $f(x) =\left\{\begin{array}{lr}\log (x-3) +1 & \text { if } x>3 \\ (x-3) ^{2} & \text { if } x \leq 3\end{array}\right.$