You would likely benefit far more from learning the definitions of "domain" and "range" than from being given the domain and range in each of these cases.
The domain of a function includes all values of the independent variable for which the function is defined (that is, for which there is a graph). In Case 1, x can have any real value, and so the domain is (-infinity, infinity).
The range of a function includes all values that the dependent value can have (that is, for which there is a graph). In Case 1, y can take on any real value, and so the range is (-infinity, infinity).
Contrast this case to Case 2. Here, y has only ONE value, so the range is simply y=2, or {2}. x can take on any value, so the domain is (-infinity, infinity).
It is true that if two variables are directly proportional then their graph is a linear function.
<h3>How to determine the true statement?</h3>
The highlights in the statement are given as:
- Two variables
- Direct proportion
- Linear function
The equation of a directly proportional graph is represented as:
y = kx
Where k represents the constant of variation
The equation y = kx is a linear function and k is the slope
Hence, it is true that if two variables are directly proportional then their graph is a linear function.
Read more about variation at:
brainly.com/question/6499629
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Andrew must get a 74 for his average to be at 70 percent. you can plug and chug in your calculator or use an equation like this one (64+69+73+x)/4=70 ; solve for x and your number should be 74