91Ó°ÊÓ

Sketching a Graph of a Function In Exercises \(31-38,\) sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. \(f(x)=x+\sqrt{4-x^{2}}\)

Solving a Trigonometric Equation In Exercises \(35-42,\) solve the equation for \(\theta,\) where \(0 \leq \theta \leq 2 \pi .\) $$2 \cos ^{2} \theta-\cos \theta=1$$

Sketching a Line in the Plane In Exercises \(35-42,\) sketch the graph of the equation. \(y=\frac{1}{3} x-1\)

Sketching a Line in the Plane In Exercises \(35-42,\) sketch the graph of the equation. \(y-2=\frac{3}{2}(x-1)\)

Testing for Symmetry In Exercises \(29-40\) , test for symmetry with respect to each axis and to the origin. \(y=\left|x^{3}+x\right|\)

Solving a Trigonometric Equation In Exercises \(35-42\) , solve the equation for \(\theta,\) where \(0 \leq \theta \leq 2 \pi\) $$\sec \theta \csc \theta=2 \csc \theta$$

Sketching a Line in the Plane In Exercises \(35-42,\) sketch the graph of the equation. \(y-1=3(x+4)\)

Solving a Trigonometric Equation In Exercises \(35-42\) , solve the equation for \(\theta,\) where \(0 \leq \theta \leq 2 \pi\) $$\sin \theta=\cos \theta$$

Testing for Symmetry In Exercises \(29-40\) , test for symmetry with respect to each axis and to the origin. \(|y|-x=3\)

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(41-56,\) find any intercepts and test for symmetry. Then sketch the graph of the equation. \(y=2-3 x\)