# Chapter 2 - Graphs and Functions - 2.4 Linear Functions - 2.4 Exercises - Page 228: 28

domain: $\left\{2\right\}$ range:$\left\{-\infty, +\infty\right\}$ Refer to the graph below. The line contains the points $(2, 0)$ and $(2, 3)$. Plot the points above and connect them using a line. (Refer to the graph in the answer part above.)

#### Work Step by Step

Solve for $x$ to obtain: $-3x+6=0 \\-3x+6-6=0-6 \\-3x=-6 \\\frac{-3x}{-3}=\frac{-6}{-3} \\x=2$ This means the given equation is equivalent to $x=2$. RECALL: The line $x=a$, where $a$ is a real number:: (a) is vertical. All points on this line have an x-coordinate of $a$; (b) has the set of real numbers as its range; and (c) has a domain of $\left\{a\right\}$ Thus, the graph of the equation $x=2$ is a vertical line. All points on the line have an x-coordinate of $2$. The domain is $\left\{2\right\}$. The range is $\left\{-\infty, +\infty\right\}$. The line contains the points $(2, 0)$ and $(2, 3)$. Plot the points above and connect them using a line. (Refer to the graph in the answer part above.)

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