Find the indicated value of the logarithmic function. \( \ln \left(e^{-3}\right) \)

Which graph best represents \( y=5\left(\frac{1}{3}\right)^{x} \)

122. Постройте график функции \( y=-x^{2}+2 x+8 \) и найдите, ис- пользуя график: а) значение функции при \( x=2,5 ;-0,5 ;-3 ; \) б) значения аргумента, при которых \( y=6 ; 0 ;-2 \); в) нули функции и промежутки знакопостоянства; г) промежутки возрастания и убывания функции, область зна- чений функции.

Express \( 148.38^{\circ} \) in radians. Answer \( = \) Blank 1 (Express your answer in 2 decimal points)

Peseribe the transformation on \( y=\left(\frac{1}{3}\right)^{x} \) If it becomes \[ y=-\left(\frac{1}{3}\right)^{(x-7)}+2 \]

Given the function with the equation \( k(x)=\frac{-6}{x+2}-2 \) : 7.1 Write the equations of the asymptotes of \( k \). 7.2 Give the range of \( k \). 7.3 Give the domain of \( k \). 7.4 Drite the equation of the axis of symmetry, with a positive gradient. 7.5 If \( k \) is reflected over the \( x \)-axis and shifted upwards by 2 units, 7.6 give the equation of the new function, \( j(x) \), after the transformations. 7.7 In which quadrant(s) would the arms of \( k \) not be if it was sketched?