91Ó°ÊÓ

For the following exercises, graph the polynomial functions using a calculator. Based on the graph, determine the intercepts and the end behavior. $$f(x)=x^{3}-27$$

For the following exercises, graph the polynomial functions using a calculator. Based on the graph, determine the intercepts and the end behavior. $$f(x)=x^{4}-81$$

For the following exercises, graph the polynomial functions using a calculator. Based on the graph, determine the intercepts and the end behavior. $$f(x)=-x^{3}+x^{2}+2 x$$

For the following exercises, graph the polynomial functions using a calculator. Based on the graph, determine the intercepts and the end behavior. $$f(x)=x^{3}-2 x^{2}-15 x$$

For the following exercises, graph the polynomial functions using a calculator. Based on the graph, determine the intercepts and the end behavior. $$f(x)=x^{3}-0.01 x$$

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or –1. There may be more than one correct answer. The \(y\) - intercept is \((0,-4) .\) The \(x\) - intercepts are \((-2,0),(2,0) .\) Degree is \(2 .\) End behavior: as \(x \rightarrow-\infty, f(x) \rightarrow \infty,\) as \(x \rightarrow \infty, f(x) \rightarrow \infty\)

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or –1. There may be more than one correct answer. The \(y\) - intercept is \((0,9) .\) The \(x\) - intercepts are \((-3,0),(3,0) .\) Degree is \(2 .\) End behavior: as \(x \rightarrow-\infty, f(x) \rightarrow-\infty,\) as \(x \rightarrow \infty, f(x) \rightarrow-\infty\)

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or –1. There may be more than one correct answer. The \(y\) - intercept is \((0,0) .\) The \(x\) - intercepts are \((0,0),(2,0) .\) Degree is \(3 .\) End behavior: as \(x \rightarrow-\infty, f(x) \rightarrow-\infty,\) as \(x \rightarrow \infty, f(x) \rightarrow \infty\)

For the following exercises, use the information about the graph of a polynomial function to determine the function. Assume the leading coefficient is 1 or –1. There may be more than one correct answer. The \(y\) - intercept is \((0,1) .\) The \(x\) -intercept is \((1,0) .\) Degree is \(3 .\) End behavior: as \(x \rightarrow-\infty, f(x) \rightarrow \infty,\) as \(x \rightarrow \infty, f(x) \rightarrow-\infty\).

For the following exercises, use the written statements to construct a polynomial function that represents the required information. An oil slick is expanding as a circle. The radius of the circle is increasing at the rate of 20 meters per day. Express the area of the circle as a function of \(d,\) the number of days elapsed.