a. The range is all the values of the graph from down to up. Example 1 Finding Domain and Range from a Graph. The notation for domain and range sets is like [x 1, x 2] or [y 1, y 2], where those numbers represent the two extremes of the domain (furthest left and right) or range (highest and lowest), and the square brackets indicate that those numbers are included in the range. For the identity function $f\left(x\right)=x$, there is no restriction on $x$. For the range, one option is to graph the function over a representative portion of the domain--alternatively, you can determine the range by inspe cti on. For the cube root function $f\left(x\right)=\sqrt{x}$, the domain and range include all real numbers. The vertical extent of the graph is all range values $5$ and below, so the range is $\left(\mathrm{-\infty },5\right]$. The range also excludes negative numbers because the square root of a positive number $x$ is defined to be positive, even though the square of the negative number $-\sqrt{x}$ also gives us $x$. Give the domain and range of the relation. Figure (\PageIndex{8}\). The input quantity along the horizontal axis is “years,” which we represent with the variable $t$ for time. So, to give you an example, please view Example 2 on the following page: https://www.algebra-class.com/vertical-line-test.html This is the graph of a quadratic function. The range is all the values of the graph from down to up. Vertical Line Test Words If no vertical line intersects a graph in more than one point, the graph represents a function. False. Find the domain and range of the function $f$. Domain: ???[-2,2]??? Graph each vertical line. ?-value at this point is ???y=1???. Overview. Example 1: Determine the domain and range of each graph pictured below: Hence the domain, in interval notation, is written as [-4 , 6] In inequality notation, the domain is written as - 4 ≤ x ≤ 6 Note that we close the brackets of the interval because -4 and 6 are included in the domain which is i… Select the correct choice below and, if … For the absolute value function $f\left(x\right)=|x|$, there is no restriction on $x$. For example, y=2x{1