Determine which window best shows the shape of the graph of the given equation and where it crosses the \( x \)-and \( y \)-axes, \( y=2 x^{3}-5 \) The better window for the graph of \( y=2 x^{3}-5 \) is which of the following?

There was a sample of 300 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by \( 6.1 \% \) each year. Let \( t \) be the number of years since the start of the study. Let \( y \) be the mass of the sample in milligrams. Write an exponential function showing the relationship between \( y \) and \( t \).

A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time \( t=0 \) seconds. When the weight it released, it oscillates and returns to its original position at \( t=3 \) seconds. Which of the following equations models the distance, \( d \), of the weight from its equilibrium after \( t \) seconds? \( d=-9 \cos \left(\frac{\pi}{3} t\right) \) \( d=-9 \cos \left(\frac{2 \pi}{3} t\right) \) \( d=-3 \cos \left(\frac{\pi}{9} t\right) \) \( d=-3 \cos \left(\frac{2 \pi}{9} t\right) \)

Graph the function. \( f(x)=\log _{4}(x+2) \)

e domain of the function \( f: f(x)=\sqrt{16-x^{2}} \)

Graticar por tabolación las funciones a) \( f(x)=5(1 / 2)^{x} \rightarrow \) Decrece.