91Ó°ÊÓ

Evaluate the indicated functions. $$F(t)=3 t-t^{2} \quad(\text { for } t \leq 2) \quad h(s)=\left\\{\begin{array}{ll}2 s & (\text { for } s<-1) \\\s+1 & (\text { for } s \geq-1)\end{array}\right.$$ $$f(x)=\left\\{\begin{array}{ll}x+1 & (\text { for } x<1) \\\\\sqrt{x+3} & (\text { for } x \geq 1) \end{array} \quad g(x)=\left\\{\begin{array}{ll}\frac{1}{x} & (\text { for } x \neq 0) \\\0 & (\text { for } x=0)\end{array}\right.\right.$$ Find \(F(1), F(2),\) and \(F(3)\).

Answer the given questions. What is the \(x\) -coordinate of all points on the \(y\) -axis?

Graph the given functions. $$y=x^{2}-3 x+1$$

In Exercises \(5-36,\) graph the given functions. $$y=x^{2}-3 x+1$$

Answer the given questions. What is the \(y\) -coordinate of all points on the \(x\) -axis?

Evaluate the given functions. $$T(t)=5 t+7 ; \text { find } T(2 t+a-1) \text { and } T(2 t)+a-1$$

In Exercises \(5-36,\) graph the given functions. $$y=2+3 x+x^{2}$$

Use the following table, which gives the fraction (as a decimal) of the total heating load of a certain system that will be supplied by a solar collector of area \(A\) (in \(\mathrm{m}^{2}\) ). Find the indicated values by linear interpolation. $$\begin{array}{l|c|c|c|c|c|c|c} f & 0.22 & 0.30 & 0.37 & 0.44 & 0.50 & 0.56 & 0.61 \\ \hline A\left(\mathrm{m}^{2}\right) & 20 & 30 & 40 & 50 & 60 & 70 & 80 \end{array}$$ For \(A=52 \mathrm{m}^{2},\) find \(f.\)

Graph the given functions. $$y=2+3 x+x^{2}$$

Use a graphing calculator to solve the given equations to the nearest 0.001 $$v^{2}-2 v-4=0$$