UESTION 3 he equation of a hyperbola is given by \( f(x)=\frac{3}{x-7}-4 \). Srite down the equation of the new function that is formed when \( f \) is transformed as follows: .1 Shift two units to the left .3 Shift 3 units up 1 unit right and 2 units down .4 The equation of the new hyperbola has new asymptotes at \( x=-4 \) and \( y=-1 \)

\( 1!+3!+5!+7!+\ldots+2017! \) toplamının birler basamağındaki ra- kam kaçtır? \( \begin{array}{lllll}\text { A) } 9 & \text { B) } 7 & \text { C) } 5 & \text { D) } 4 & \text { E) } 2\end{array} \)

The population of a certain species in a protected area can be modeled by the function \( P(t) = 200 + 50 \sin(t) \), where \( t \) is measured in years. Determine the total population increase over one complete cycle (from \( t=0 \) to \( t=2\pi \)).

Question 5: (August 2023 ) The function \( G(m) \) represents the amount of gasoline consumed by a car traveling \( m \) miles. An appropriate domain for this function

A solid rectangular block has a square base. Find its maximum youme and the sides if the sum of its height and any one side of the base is 12 cm .

4. Solve the recurrence relation an \( -80 n-1-16 n-2 \) for \( n \geq 2, a_{0}=16, a_{1}=80 \).