The annual average price per square foot for office space in a city was \( \$ 31.22 \) in 2004 , and it was \( \$ 66.83 \) in 2015 . Complete parts (a) and (b) below. (a) Find an exponential function of the form \( f(t)=y_{0} b^{t} \) to model these data in which \( t=0 \) corresponds to 2004. \( f(t)=\square \) (Use integerbror decimals for any numbers in the expression. Round to the nearest thousandth as needed.) (b) If the model remains accurate, what was the predicted rent per square foot in 2016 ? If the model remains accurate, the predicted rent per square foot in 2016 was \( \$ \square \) (Round to the nearest hundredth as needed.)

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 \( t=2\pi \)).

j) \( \sin ^{-1}(y)+x^{3}=\sqrt{y} \)

Pre-Calculus 11 Practice Midterm 2 Find the \( x \)-intercepts of the following quadratic function: \( y=3 x^{2}-13 x-10 \)

The equation of a hyperbola is given by \( f(x)=\frac{3}{x-7}-4 \). Write down the equation of the new function that is formed when \( f \) is transformed as Shift two units to the left \( 3.2 \quad \) Shift 3 units up Shift 1 unit right and 2 units down \( 3.4 \quad \) The equation of the new hyperbola has new asymptotes at \( x=-4 \) and \( y=-1 \)

Sketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \quad 2^{x-1}+1 \) Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s).