91Ó°ÊÓ

Determine if the lines defined by the given equations are parallel, perpendicular, or neither. \(5 y=2 x\) \(\frac{5}{2} x-y=0\)

Write the equation in standard form: \((x-h)^{2}+(y-k)^{2}=r^{2}\). Then if possible identify the center and radius of the circle. If the equation represents a degenerate case, give the solution set. (See Examples \(3-4)\) $$ x^{2}+y^{2}+6 x-2 y+6=0 $$

Determine if the function is even, odd, or neither. $$ n(x)=\sqrt{16-(x-3)^{2}} $$

Graph the equations by plotting points. $$ y=|x+1| $$

Evaluate the function for the given value of \(x .\) (See Examples \(5-6)\) \(f(x)=x^{2}+3 x \quad g(x)=\frac{1}{x} \quad h(x)=5 \quad k(x)=\sqrt{x+1}\) a. \(h(-2)\) b. \(h(-1)\) c. \(h(0)\) d. \(h(1)\) e. \(h(2)\)

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form with no fractional coefficients. Passes through (2,5) and is parallel to the line defined by \(2 x+y=6\)

Determine if the function is even, odd, or neither. $$ r(x)=\sqrt{81-(x+2)^{2}} $$

Graph the equations by plotting points. $$ y=|x-2| $$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form (if possible) and in standard form with no fractional coefficients. Passes through (3,-1) and is parallel to the line defined by \(-3 x+y=4\)

Write the equation in standard form: \((x-h)^{2}+(y-k)^{2}=r^{2}\). Then if possible identify the center and radius of the circle. If the equation represents a degenerate case, give the solution set. (See Examples \(3-4)\) $$ x^{2}+y^{2}+12 x-14 y+84=0 $$