91Ó°ÊÓ

Sketching the Graph of a Rational Function In Exercises \(17-40,\) (a) state the domain of the function, (b) identify all intercepts, (c) find any vertical or horizontal asymptotes, and (d) plot additional solution points as needed to sketch the graph of the rational function. $$g(s)=\frac{4 s}{s^{2}+4}$$

Apply the Leading Coefficient Test, describe the right-hand and left-hand behavior of the graph of the polynomial function. $$ g(x)=-x^{4}+4 x-6 $$

Solving a Polynomial Inequality In Exercises \(13-34,\) solve the inequality. Then graph the solution set.$$-2 x^{2}+6 x \leq-15$$

Using Standard Form to Graph a Parabola In Exercises \(17-34\) , write the quadratic function in standard form and sketch its graph. Identify the vertex, axis of symmetry, and \(x\) -intercept(s). $$ h(x)=x^{2}+16 x-17 $$

Performing Operations with Complex Numbers. Perform the operation and write the result in standard form. $$(9-i)-(8-i)$$

Use long division to divide. \(\frac{x^{4}}{(x-1)^{3}}\)

Using Standard Form to Graph a Parabola In Exercises \(17-34\) , write the quadratic function in standard form and sketch its graph. Identify the vertex, axis of symmetry, and \(x\) -intercept(s). $$ f(x)=x^{2}+34 x+289 $$

Sketching the Graph of a Rational Function In Exercises \(17-40,\) (a) state the domain of the function, (b) identify all intercepts, (c) find any vertical or horizontal asymptotes, and (d) plot additional solution points as needed to sketch the graph of the rational function. $$f(t)=\frac{1-2 t}{t}$$

Apply the Leading Coefficient Test, describe the right-hand and left-hand behavior of the graph of the polynomial function. $$ f(x)=-2.1 x^{5}+4 x^{3}-2 $$

Solving a Polynomial Inequality In Exercises \(13-34,\) solve the inequality. Then graph the solution set.$$x^{2}-3 x-18>0$$