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Problem 42

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y=2 x^{2}+x $$

Problem 43

Finding an Equation of a Line In Exercises \(39-46,\) find an equation of the line that passes through the points. Then sketch the line. $$ (6,3),(6,8) $$

Problem 43

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y=x^{3}+2 $$

Problem 44

Finding an Equation of a Line In Exercises \(39-46,\) find an equation of the line that passes through the points. Then sketch the line. $$ (1,-2),(3,-2) $$

Problem 44

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y=x^{3}-4 x $$

Problem 45

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y=x \sqrt{x+5} $$

Problem 45

Finding an Equation of a Line In Exercises \(39-46,\) find an equation of the line that passes through the points. Then sketch the line. $$ \left(\frac{1}{2}, \frac{7}{2}\right),\left(0, \frac{3}{4}\right) $$

Problem 45

Using the Vertical Line Test In Exercises \(43-46,\) use the Vertical Line Test to determine whether \(y\) is a function of \(x .\) To print an enlarged copy of the graph, go to MathGraphs.com. $$ y=\left\\{\begin{array}{cc}{x+1,} & {x \leq 0} \\ {-x+2,} & {x>0}\end{array}\right. $$

Problem 46

Using Intercepts and Symmetry to Sketch a Graph In Exercises \(39-56\) , find any intercepts and test for symmetry. Then sketch the graph of the equation. $$ y=\sqrt{25-x^{2}} $$

Problem 46

Finding an Equation of a Line In Exercises \(39-46,\) find an equation of the line that passes through the points. Then sketch the line. $$ \left(\frac{7}{8}, \frac{3}{4}\right),\left(\frac{5}{4},-\frac{1}{4}\right) $$

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