91Ó°ÊÓ

Solve the given problems. $$\text { For } f(x+2)=|x|, \text { find } f(0)$$

Graph the indicated functions. An airline requires that any carry-on bag has total dimensions (length + width + height) that do not exceed 45 in. For a carry-on that just meets this requirement and \(h\) as a length that is twice the width, express the volume \(V\) as a function of the width \(w\). Draw the graph of \(V=f(w)\)

In Exercises \(37-66,\) graph the indicated functions. A copper electrode with a mass of \(25.0 \mathrm{g}\) is placed in a solution of copper sulfate. An electric current is passed through the solution, and \(1.6 \mathrm{g}\) of copper is deposited on the electrode each hour. Express the total mass \(m\) on the electrode as a function of the time \(t\) and plot the graph.

Solve the given problems. If \(f(x)=x\) and \(g(x)=x^{2},\) find (a) \(f[g(x)],\) and (b) \(g[f(x)]\)

Solve the given problems. $$\text { For } f(x)=x^{2}, \text { find } \frac{f(x+h)-f(x)}{h}$$

Graph the indicated functions. A copper electrode with a mass of \(25.0 \mathrm{g}\) is placed in a solution of copper sulfate. An electric current is passed through the solution, and \(1.6 \mathrm{g}\) of copper is deposited on the electrode each hour. Express the total mass \(m\) on the electrode as a function of the time \(t\) and plot the graph.

For \(f(x)=x^{2},\) find \(\frac{f(x+h)-f(x)}{h}\).

What is the range of the function \(f(x)=|x|+|x-2| ?\)

Solve the indicated equations graphically. Assume all data are accurate to two significant digits unless greater accuracy is given. In an electric circuit, the current \(i\) (in \(\mathrm{A}\) ) as a function of voltage \(v\) is given by \(i=0.01 v-0.06 .\) Find \(v\) for \(i=0\)

In Exercises \(37-66,\) graph the indicated functions. A land developer is considering several options of dividing a large tract into rectangular building lots, many of which would have perimeters of \(200 \mathrm{m}\). For these, the minimum width would be \(30 \mathrm{m}\) and the maximum width would be 70 m. Express the areas \(A\) of these lots as a function of their widths \(w\) and plot the graph.