Find the domain and range for the following exponential function. \( f(x)=\left(\frac{6}{5}\right)^{x-2}+6 \) a) Record the horizontal asymptote below. Be sure to record you answer as \( y= \). b) Record the domain below using interval notation. c) Record the range below using interval notation. .

14) \( -4 \cdot(-x+10)=(4 x+60): 2 \)

Given the equation \( y=2 \sec (8 x-56) \) The period is: The horizontal shift is: \( \square \) units to the Select an answer

Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval \( [0, \pi] \). Example: Enter pi/6 for \( \frac{\pi}{6} \). (a) \( \cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)=\square \) (b) \( \cos ^{-1}(-1)=\square \) (c) \( \cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)=\square \)

Question 2 Simplify the following, giving your answer with positive exponents. (Assume all variables are \( \neq 0 \).) \( \frac{\left(2 a^{3} b^{-2}\right)^{3}}{2 b^{-2}} \div \frac{4 a^{6} b^{-3}}{2^{4} b^{2}} \)

A car was valued at \( \$ 45,000 \) in the year 1992 . The value depreciated to \( \$ 14,000 \) by the year 2003. A) What was the annual rate of change between 1992 and 2003 ? \( r= \) B) What is the correct answer to part A written in percentage form? \( r= \) C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 4 decimal places. 2006 ? value \( =\$ \square \)