3. Squirrel Population A grey squirrel population was intro- duced in a certain county of Great Britain 30 years ago. Biologists observe that the population doubles every 6 years, and now the population is 100,000 . (a) What was the initial size of the squirrel population? (b) Estimate the squirrel population 10 years from now. (c) Sketch a graph of the squirrel population.

A farmer decides to enclose a rectangular garden using the side of a barn as one side of the rectangle. What are the maximum dimensions that can be enclosed with 80 ft of fence? What is the maximum area of this garden? Select the correct choice below and fill in the answer box(s) to complete your choice. A. The area is maximized when both sides are \( \square \mathrm{nt} \). The area is maximized when the longer side is \( \square \mathrm{ft} \) and the shorter side is The maximum area that the farmer can enclose with 80 ft of fence is \( \square \mathrm{sq} \mathrm{ft} \)

Follow the seven step strategy to graph the following rational function. \( f(x)=\frac{6 x}{x-2} \) To graph the function, first determine the symmetry of the graph of f . Choose the correct answer below. y-axis symmetry origin symmetry neither \( y \)-axis symmetry nor origin symmetry What is the \( y \)-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( y \)-intercept is (Type an integer or a simplified fraction.)

Use transformations of the absolute value function, \( \mathrm{f}(\mathrm{x})=|\mathrm{x}| \), to graph the function \( g(x)=-|\mathrm{x}-3|-5 \). ... \( \square \) A. Horizontal shift \( \square \) B. Vertical stretch/shrink \( \square \) C. Horizontal stretch/shrink \( \square \) D. Vertical shift \( \square \) E. Reflection about the \( x \)-axis \( \square \) F. Reflection about the \( y \)-axis

6) O domínio da função dada por \( \mathrm{f}(\mathrm{x})= \) é a) \( \{x \in R \mid-2 \leq x \leq 3\} \). b) \( \{x \in R \mid-2 \leq x<3\} \). c) \( \{x \in R \mid 2 \leq x<3\} \). d) \( \{x \in R \mid-2 \leq x \leq 3\} \). e) \( \{x \in R \mid x \neq 3\} \).

Use the given function to complete parts (a) through (e) below. \( f(x)=x^{4}-36 x^{2} \) d) Determine the symmetry of the graph. Odd; origin symmetry Even; \( y \)-axis symmetry Neither