91Ó°ÊÓ

A factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. How many workers should be on a shift in order to produce the required units at minimal cost? Let \(x\) represent the number of workers and y represent the number of units manufactured. Write three inequalities expressing the problem conditions.

Determine whether each relation defines \(y\) as a function of \(x\). \(x=y^{6}\)

Graph each linear or constant function. Give the domain and range. $$ h(x)=\frac{1}{2} x+2 $$

Determine whether each relation defines \(y\) as a function of \(x\). \(x=y^{4}\)

Find the \(x\) - and \(y\) -intercepts. Then graph each equation. $$ x-4=0 $$

Graph each linear or constant function. Give the domain and range. $$ F(x)=-\frac{1}{4} x+1 $$

A factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. How many workers should be on a shift in order to produce the required units at minimal cost? Let \(x\) represent the number of workers and y represent the number of units manufactured. The cost per worker is \(\$ 50\) per day and the cost to manufacture 1 unit is \(\$ 100 .\) Write an equation in \(x, y,\) and \(C\) representing the total daily \(\operatorname{cost} C\).

Find the slope of each line, and sketch its graph. \(5 x-2 y=10\)

Graph each linear or constant function. Give the domain and range. $$ f(x)=x $$

Find the \(x\) - and \(y\) -intercepts. Then graph each equation. $$ y+2=0 $$