Topic
Q:
The population of the world in 1987 was 5 billion and the
annual growth rate was estimated at \( 1.6 \% \) per year.
Assuming that the world population follows an exponential
growth model, find the projected world population in 2017 .
Round your answer to 1 decimal place.
Question Help: \( \square \) Video \( \square \) Message instructor
Q:
After introducing 77 specimen of white-tail deer into
Hatchikapatchi state park, their population is expected to
double every 10 years. According to this model how many
years pass since their introduction into the park before the
population reaches 250 members?
\( t=\square \)
Q:
What is the asymptote of the logarithmic function \( f(x)=\log _{100} x \)
Q:
What is the asymptote of the logarithmic function \( f(x)=\log _{100} x \)
Q:
The fox population in a certain region has an annual growth
rate of 6 percent per year. It is estimated that the
population in the year 2000 was 28300 .
(a) Find a function that models the population \( t \) years after
2000 ( \( t=0 \) for 2000 ).
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 should be an integer)
Q:
What is the equation of the transformed parent function \( f(x)=3^{e} \) if it is shifted left 5 units, vertically
reflected across the \( x \)-axis, vertically compressed to \( 1 / 2 \) of the height, and then shifted down 7 units?
Q:
Let \( C(x) \) be the cost to produce \( x \) batches of widgets, and
let \( R(x) \) be the revenue in thousands of dollars. Complete
parts (a) through (d) below.
\( R(x)=-x^{2}+10 x, C(x)=2 x+7 \)
(a) Graph both functions.
Identify the vertex of \( R(x) \).
The vertex of \( R(x) \) is at \( \square \).
(Type an ordered pair. Simplify your answer.)
Q:
For the function \( h(x)=\frac{1}{x-3} \)
Part: \( \mathbf{0} / \mathbf{3} \)
Part 1 of 3
(a) Identify the domain of the function
The domain of the function in interval notation is
Q:
For the function \( k(x)=\sqrt{x+1} \)
Part: \( \mathbf{0} / \mathbf{3} \)
Part 1 of 3
(a) Identify the domain of the function.
The domain of the function in interval notation is \( \square \).
Q:
The function \( f(x)=\log _{4} x \) is reflected across the \( y \)-axis. What happens to the point \( (64,3) \)
that lies on the parent fuction after the transformation?
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