91Ó°ÊÓ

Graph each linear or constant function. Give the domain and range. $$ f(x)=5 $$

Determine whether each relation defines \(y\) as a function of \(x\). \(y=\sqrt{2 x+9}\)

Can the graph of a linear function have an undefined slope? Explain.

Find the midpoint of each segment with the given endpoints. $$ (-9,3) \text { and }(9,8) $$

A taxicab driver charges \(\$ 2.50\) per mile. (a) Fill in the table with the correct response for the price \(f(x)\) the driver charges for a trip of \(x\) miles. (b) The linear function that gives a rule for the amount charged is \(f(x)=\) (c) Graph this function for the domain \\{0,1,2,3\\} using the set of axes at the right. $$ \begin{array}{c|c} x & f(x) \\ \hline 0 & \\ \hline 1 & \\ \hline 2 & \\ \hline 3 & \\ \hline \end{array} $$

Graph each line passing through the given point and having the given slope. (0,-4)\(; m=-\frac{3}{2}\)

The table represents a linear function. (a) What is \(f(2)\) ? (b) If \(f(x)=-1.3,\) what is the value of \(x ?\) (c) What is the slope of the line? (d) What is the \(y\) -intercept of the line? (e) Using the answers from parts (c) and (d), write an equation for \(f(x)\). $$ \begin{array}{c|c} x & y=f(x) \\ \hline 0 & 3.5 \\ \hline 1 & 2.3 \\ \hline 2 & 1.1 \\ \hline 3 & -0.1 \\ \hline 4 & -1.3 \end{array} $$

The table represents a linear function. (a) What is \(f(2)\) ? (b) If \(f(x)=2.1,\) what is the value of \(x ?\) (c) What is the slope of the line? (d) What is the \(y\) -intercept of the line? (e) Using the answers from parts (c) and (d), write an equation for \(f(x)\). $$ \begin{array}{|c|c|} \hline x & y=f(x) \\ \hline-1 & -3.9 \\ \hline 0 & -2.4 \\ \hline 1 & -0.9 \\ \hline 2 & 0.6 \\ \hline 3 & 2.1 \\ \hline \end{array} $$

Graph each line passing through the given point and having the given slope. (0,0)\(; m=\frac{1}{5}\)

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form. See Example 6. $$ (7,2) ; \text { parallel to } 3 x-y=8 $$