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: \( 1 \quad \) Shift two units to the left \( 2 \quad \) Shift 3 units up

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 would be (1) integers (2) rational numbers (3) nonnegative integers (4) nonnegative rational numbers

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

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 \( t=2\pi \)).

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 \( n \geq 2, a_{0}=16, a_{1}=80 \).