A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) years

A population of bacteria is growing according to the equation \( P(t)=850 e^{0.03 t} \). Use a graphing calculator to estimate when the population will exceed 924. \( t=\square \) Give your answer accurate to one decimal place.

What is a turning point in the context of polynomial graphs?

Sketch a graph of the function \( f(x)=-3 \sin (3 x) \)

Oiven: \( f(x)=\frac{3}{x-2} \) and \( g(x)=3^{-1} \), Explain why \( f(x)=g(x) \) will have only ONE root. Motivate your answer.

Draw the graph of \( f(x)=\log _{3}(x-3)+4 \)