91Ó°ÊÓ

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, \(x .\)

You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller playgrounds by placing the fencing parallel to one of the sides. Express the area of the playground, \(A\), as a function of one of its dimensions, \(x\).

The bar graph shows that as costs changed over the decades, Americans devoted less of their budget to groceries and more to health care. Find a linear function in slope-intercept form that models the given description. Each function should model the percentage of total spending, \(p(x),\) by A mericans \(x\) years after \(1950 .\) (GRAPH CAN'T COPY) In \(1950,\) Americans spent \(22 \%\) of their budget on food. This has decreased at an average rate of approximately \(0.25 \%\) per year since then.

The bar graph shows that as costs changed over the decades, Americans devoted less of their budget to groceries and more to health care. Find a linear function in slope-intercept form that models the given description. Each function should model the percentage of total spending, \(p(x),\) by A mericans \(x\) years after \(1950 .\) (GRAPH CAN'T COPY) In \(1950,\) Americans spent \(3 \%\) of their budget on health care. This has increased at an average rate of approximately \(0.22 \%\) per year since then.

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. \(x\) -intercept \(=-\frac{1}{2}\) and \(y\) -intercept \(=4\)

Give the slope and \(y\)-intercept of each line whose equation is given. Then graph the linear function. $$y=3 x+2$$

Graph the given functions, \(f\) and \(g,\) in the same rectangular coordinate system. Select integers for \(x,\) starting with -2 and ending with \(2 .\) Once you have obtained your graphs, describe how the graph of \(g\) is related to the graph of \(f .\) $$f(x)=x, g(x)=x-4$$

Graph the given functions, \(f\) and \(g,\) in the same rectangular coordinate system. Select integers for \(x,\) starting with -2 and ending with \(2 .\) Once you have obtained your graphs, describe how the graph of \(g\) is related to the graph of \(f .\) $$f(x)=x^{3}, g(x)=x^{3}-1$$

Graph equation in a rectangular coordinate system. $$y=-2$$

Find \(f+g, f-g,\) fg, and \(\frac{f}{x}\). Determine the domain for each function. $$f(x)=\sqrt{x-2}, g(x)=\sqrt{2-x}$$