91Ó°ÊÓ

If you are given the equation of a rational function, explain how to find the vertical asymptotes, if any, of the function's graph.

Solve and graph the solution set on a number line: $$\frac{2 x-3}{4} \geq \frac{3 x}{4}+\frac{1}{2}$$ (Section 1.7, Example 5)

Write an equation in point-slope form and slope-intercept form of the line passing through \((-10,3)\) and \((-2,-5)\) (Section \(2.3,\) Example 3 )

If you are given the equation of a rational function, explain how to find the horizontal asymptote, if there is one, of the function's graph.

Exercises \(113-115\) will help you prepare for the material covered in the next section. a. If \(y=k x^{2},\) find the value of \(k\) using \(x=2\) and \(y=64\) b. Substitute the value for \(k\) into \(y=k x^{2}\) and write the resulting equation. c. Use the equation from part (b) to find \(y\) when \(x=5\)

Describe how to graph a rational function.

Divide 737 by 21 without using a calculator. Write the answer as quotient \(+\frac{\text { remainder }}{\text { divisor }}\)

Exercises 113–115 will help you prepare for the material covered in the next section. Divide 737 by 21 without using a calculator. Write the answer as quotient \(+\frac{\text { remainder }}{\text { divisor }}\)

Rewrite \(4-5 x-x^{2}+6 x^{3}\) in descending powers of \(x\).

Exercises 113–115 will help you prepare for the material covered in the next section. Rewrite \(4-5 x-x^{2}+6 x^{3}\) in descending powers of \(x\)