An industrial technician is monitoring the output of a pressure sensor during a machine's operation cycle. The output is graphed as a curved line segment passing through the coordinates $({}-5, {}-4)$, $({}0, {}-3)$, and ({}1, {}2). Based on the definition of domain as the set of all possible input values ($x$-values), which interval represents the domain of this function?

A laboratory technician is recording the voltage variance of a sensor during a calibration cycle. The results are displayed on a graph as a curved segment passing through the points $(-5, -4)$, $(0, -3)$, and (1, 2). Match each mathematical term to the interval that correctly represents the data set for this specific graph.

A maintenance technician uses a diagnostic tool to graph the efficiency of a motor during a test cycle. The resulting graph is a curved segment passing through the points $({}-5, {}-4)$, $({}0, {}-3)$, and ({}1, {}2). The domain of this efficiency function, representing the set of all possible input values ($x$-values), is the interval $[{}-4, {}2]$.

An industrial technician is monitoring the performance of a hydraulic pump. The diagnostic software displays the pump's pressure variance as a curved line segment passing through the coordinates $({}-5, {}-4)$, $({}0, {}-3)$, and ({}1, {}2). The technician identifies that the vertical span of the graph, which covers all possible output values from ${}-4$ to ${}2$, represents the interval $[{}-4, {}2]$. This complete set of output values (the $y$-values) is mathematically defined as the ____ of the function.

A medical lab technician is tracking the temperature variance of a sensitive sample during a controlled cooling cycle. The results are plotted on a graph as a curved segment passing through the coordinates $(-5, -4)$, $(0, -3)$, and (1, 2), where the vertical axis represents the temperature in degrees. Arrange the following steps in the correct order to identify the range of this temperature function.

Defining Domain and Range from a Performance Graph