91Ó°ÊÓ

Finding an Equation of a Line ,find an equation of the line passing through the points. Sketch the line. $$(-1,4),(6,4)$$

Use a graphing utility to graph the equation. Use a standard setting. Approximate any intercepts. \(y=\frac{2}{3} x-1\)

Finding an Equation of a Line ,find an equation of the line passing through the points. Sketch the line. $$\left(2, \frac{1}{2}\right),\left(\frac{1}{2}, \frac{5}{4}\right)$$

Use a graphing utility to graph the equation. Use a standard setting. Approximate any intercepts. \(y=x^{2}-4 x+3\)

Finding an Inverse Function In Exercises \(57-72\) determine whether the function has an inverse function. If it does, then find the inverse function. $$g(x)=\frac{x}{8}$$

Graph the function and determine the interval(s) for which \(f(x) \geq 0\) . \(f(x)=\sqrt{x-1}\)

Finding the Domain of a Function In Exercises \(49-60\) , find the domain of the function. $$f(x)=\frac{x-4}{\sqrt{x}}$$

Finding a Mathematical Model In Exercises \(55-62,\) find a mathematical model that represents the statement. (Determine the constant of proportionality.) \(F\) is jointly proportional to \(r\) and the third power of \(s .\) $$(F=4158\( when \)r=11\( and \)s=3 .)$$

Finding a Mathematical Model In Exercises \(55-62,\) find a mathematical model that represents the statement. (Determine the constant of proportionality.) \(P\) varies directly as \(x\) and inversely as the square of \(y .\) $$\left(P=\frac{28}{3}\( when \)x=42\( and \)y=9 .\right)$$

Finding an Inverse Function In Exercises \(57-72\) determine whether the function has an inverse function. If it does, then find the inverse function. $$f(x)=3 x+5$$