The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 22000 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Hint: Use an exponential function with base \( e \). Your answer is \( P(t)= \)

The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 24200 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Hint: Use an exponential function with base \( e \). Your answer is \( P(t)= \) (b) Use the function from part (a) to estimate the fox population in the year 2008 . Your answer is (the answer must be an integer)

The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 22000 . (a) Find a function that models the population \( t \) years after \( 2000(t=0 \) for 2000). Hint: Use an exponential function with base \( e \). Your answer is \( P(t)= \)

What is the end behavior of the graph of the exponential function \( f(x)=b^{x} \) when \( 0<b<1 ? \) (1 point) \( f(x) \rightarrow \infty \) as \( x \rightarrow \infty, f(x) \rightarrow 0 \) as \( x \rightarrow-\infty \) \( f(x) \rightarrow 0 \) as \( x \rightarrow \infty, f(x) \rightarrow \infty \) as \( x \rightarrow-\infty \) \( f(x) \rightarrow \infty \) as \( x \rightarrow \infty ; f(x) \rightarrow-\infty \) as \( x \rightarrow 0 \) \( f(x) \rightarrow \infty \) as \( x \rightarrow 0 ; f(x) \rightarrow-\infty \) as \( x \rightarrow-\infty \)

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

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