An electronically controlled thermostat in a home is programmed to lower the temperature automatically during the night. The temperature T, in degrees Fahrenheit, is given in terms of t, the time on a 24 hour clock, as shown in the figure. Use the Vertical Line Test to determine if T is a function of t .
A)T is a function of t .
B)T is not a function of t .

Question

An electronically controlled thermostat in a home is programmed to lower the temperature automatically during the night. The temperature T, in degrees Fahrenheit, is given in terms of t, the time on a 24 hour clock, as shown in the figure. Use the Vertical Line Test to determine if T is a function of t . 
A)T is a function of t . 
B)T is not a function of t .

Quizplus · Accepted Answer

The vertical line test states that if a vertical line intersects a graph at exactly one point, then the graph represents a function. In the given figure, any vertical line will only intersect the graph at one point which implies that T is a function of t. Therefore, the correct answer is A) T is a function of t.

An Electronically Controlled Thermostat in a Home Is Programmed to Lower