91Ó°ÊÓ

Determine whether the graph of each equation is symmetric with respect to the \(y\) -axis, the \(x\) -axis, the origin, more than one of these, or none of these. $$y=2 x+3$$

Graph each equation . Let \(x=-3,-2,-1,0\) \(1,2,\) and 3. $$y=|x|-1$$

In Exercises \(19-30\), find the midpoint of each line segment with the given endpoints. $$(-2,-1) \text { and }(-8,6)$$

Determine whether each equation defines \(y\) as a function of \(x .\) $$x y-5 y=1$$

Write an equation in slope-intercept form of \(a\) linear function \(f\) whose graph satisfies the given conditions. The graph of \(f\) passes through \((-5,6)\) and is perpendicular to the line that has an \(x\) -intercept of 3 and a \(y\) -intercept of \(-9.\)

As in Exercise \(22,\) you have 600 feet of fencing to enclose a rectangular field. However, one side of the field lies along a canal and requires no fencing. Express the area of the field, \(A,\) as a function of one of its dimensions, \(x.\)

Find the domain of each function. $$f(x)=\sqrt{84-6 x}$$

Determine whether the graph of each equation is symmetric with respect to the \(y\) -axis, the \(x\) -axis, the origin, more than one of these, or none of these. $$y=2 x+5$$

use the given conditions to write an equation for each line in point-slope form and slope-intercept form. Slope \(=-\frac{3}{5},\) passing through \((10,-4)\)

Find the domain of each function. $$h(x)=\sqrt{x-2}+\sqrt{x+3}$$