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Magazine Problem 47
Deciding Whether an Equation Is a Function In Exercises \(47-50\) , determine whether \(y\) is a function of \(x .\) $$ x^{2}+y^{2}=16 $$
Problem 47
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. $$ x=y^{3} $$
Problem 47
Find an equation of the vertical line with \(x\) -intercept at 3 .
Problem 48
Show that the line with intercepts \((a, 0)\) and \((0, b)\) has the following equation. $$ \frac{x}{a}+\frac{y}{b}=1, \quad a \neq 0, b \neq 0 $$
Problem 48
Deciding Whether an Equation Is a Function In Exercises \(47-50\) , determine whether \(y\) is a function of \(x .\) $$ x^{2}+y=16 $$
Problem 48
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. $$ x=y^{2}-4 $$
Problem 49
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. $$ y=\frac{8}{x} $$
Problem 49
Deciding Whether an Equation Is a Function In Exercises \(47-50\) , determine whether \(y\) is a function of \(x .\) $$ y^{2}=x^{2}-1 $$
Problem 50
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. $$ y=\frac{10}{x^{2}+1} $$
Problem 50
Deciding Whether an Equation Is a Function In Exercises \(47-50\) , determine whether \(y\) is a function of \(x .\) $$ x^{2} y-x^{2}+4 y=0 $$
