Sketch the graph of the exponential function \( g(x) = 3^{x-1} + 2 \), indicating its asymptote.

\( f(x)=\sqrt{4 x-x^{2}-3} \), con \( 2 \leq x \leq 3 \) a uno sobre su dominio respondencia \( f^{-1} \)

29. Given \( g(x)=-4(x-2)^{3} \), what describes the transformations that have occurred? a horizontal shift right two units, a reflection across the \( y \)-axis, and a horizontal shrink a vertical shift down two units, a reflection across the \( x \)-axis, and a horizontal stretch a horizontal shift right two units, a reflection across the \( x \)-axis, and a vertical stretch a hhift left two units, a reflection across the \( y \)-axis, and a horizontal stretch

The average daily high temperature (in \( \left.{ }^{\circ} \mathrm{C}\right) \) in Karachi, Pakistan, on the \( t^{\text {th }} \) day of the year is approximately \( T(t)=29-5 \cos \left(\frac{2 \pi(t-12)}{365}\right) \). What are the highest and lowest average daily highs in Karachi? Give exact answers. Highest: \( \square{ }^{\circ} \mathrm{C} \) Lowest: \( \square{ }^{\circ} \mathrm{C} \)

The elevation \( E \), in meters, above sea level at which the boiling point of a certain liquid is \( t \) degrees Celsius is given by the function shown below. At what elevation is the boiling point \( y=e^{t} \) where \( t=109.5^{\circ} \) Round your answer to the nearest tenths.

Sketch the graph of the exponential function \( g(x) = 3^{x-1} + 2 \), indicating its asymptote.