Section 1
Power Functions & Polynomial Functions
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=x^{4}$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=x^{6}$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=x^{3}$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=x^{5}$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=-x^{2}$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=-x^{4}$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=-x^{7}$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$f(x)=-x^{9}$$
Find the degree and leading coefficient of each polynomial.$$4 x^{7}$$
Find the degree and leading coefficient of each polynomial.$$5 x^{6}$$
Find the degree and leading coefficient of each polynomial.$$5-x^{2}$$
Find the degree and leading coefficient of each polynomial.$$6+3 x-4 x^{3}$$
Find the degree and leading coefficient of each polynomial.$$-2 x^{4}-3 x^{2}+x-1$$
Find the degree and leading coefficient of each polynomial.$$6 x^{5}-2 x^{4}+x^{2}+3$$
Find the degree and leading coefficient of each polynomial.$$(2 x+3)(x-4)(3 x+1)$$
Find the degree and leading coefficient of each polynomial.$$(3 x+1)(x+1)(4 x+3)$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$-2 x^{4}-3 x^{2}+x-1$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$6 x^{5}-2 x^{4}+x^{2}+3$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$3 x^{2}+x-2$$
Find the long run behavior of each function as $x \rightarrow \infty$ and $x \rightarrow-\infty$.$$-2 x^{3}+x^{2}-x+3$$
What is the maximum number of $x$ -intercepts and turning points for a polynomial of degree $5 ?$
What is the maximum number of $x$ -intercepts and turning points for a polynomial of degree $8 ?$
What is the least possible degree of the polynomial function shown in each graph?
Find the vertical and horizontal intercepts of each function.$$f(t)=2(t-1)(t+2)(t-3)$$
Find the vertical and horizontal intercepts of each function.$$f(x)=3(x+1)(x-4)(x+5)$$
Find the vertical and horizontal intercepts of each function.$$g(n)=-2(3 n-1)(2 n+1)$$
Find the vertical and horizontal intercepts of each function.$$k(u)=-3(4-n)(4 n+3)$$