91Ó°ÊÓ

Finding Points on a line In Exercises \(15-18\) , use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) \((-2,-2) \quad m=2\)

Approximating Solution Points Using Technology In Exercises 17 and \(18,\) use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unknown coordinate of each solution point accurate to two decimal places. $$y=x^{5}-5 x$$ (a) \((-0.5, y)\) (b) \((x,-4)\)

Evaluating Trigonometric Functions In Exercises \(17-20\) , sketch a right triangle corresponding to the trigonometric function of the acute angle \(\theta\) . Then evaluate the other five trigonometric functions of \(\theta\). $$\sin \theta=\frac{1}{3}$$

Finding an Equation of a line In Exercises \(19-24,\) find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. \(\begin{array}{ll}{\text { Point }} & {\text { Slope }} \\ {(0,3)} & {m=\frac{3}{4}}\end{array}\)

Finding Intercepts In Exercises \(19-28,\) find any intercepts. \(y=2 x-5\)

Evaluating Trigonometric Functions In Exercises \(17-20\) , sketch a right triangle corresponding to the trigonometric function of the acute angle \(\theta\) . Then evaluate the other five trigonometric functions of \(\theta\). $$\cos \theta=\frac{4}{5}$$

Finding the Domain and Range of a a Function In Exercises \(13-22,\) find the domain and range of the function. \(f(x)=\sqrt{16-x^{2}}\)

Finding Intercepts In Exercises \(19-28,\) find any intercepts. \(y=4 x^{2}+3\)

Finding the Domain and Range of a a Function In Exercises \(13-22,\) find the domain and range of the function. \(f(x)=|x-3|\)

Finding an Equation of a line In Exercises \(19-24,\) find an equation of the line that passes through the point and has the indicated slope. Then sketch the line. \((-5,-2) \quad m=\frac{6}{5}\)