Provide an appropriate response.Consider the linear function f(x) = 5x + 20. What is the domain and range of this function? Now, suppose the function represents the relationship between studying time and grades on an exam. The variable x represents the number of hours spent studying and f(x) represents the grade on the exam. Does this change the domain and range? If so, what is the new domain and range and why is it different?

What will be an ideal response?


The domain is all real numbers and the range is the set of all real numbers. In the context of exam grades, the domain and range both become the set of nonnegative real numbers. In this context, times and grades less than zero do not make sense.

Mathematics

You might also like to view...

Which of the following symbols indicates a rotation? ?

A.

?123     321


B.

?


C.

?


D.

?


E.

?b and d


F.

?None of the above.


Mathematics

Solve the problem.Suppose that during a certain step in a chemical manufacturing process the amount of hydrogen sulfide dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Write the data from the table as ordered pairs (x, y), where x represents the time and y represents the amount dissolved.

A. (1, 22.0), (2, 24.4), (3, 26.4), (4, 28.4), (5, 30.2) B. (4, 22.0), (8, 24.4), (12, 26.4), (16, 28.4), (20, 30.2) C. (0, 22.0), (4, 24.4), (8, 26.4), (12, 28.4), (16, 30.2) D. (22.0, 4), (24.4, 8), (26.4, 12), (28.4, 16), (30.2, 20)

Mathematics

Multiply. Simplify your answer if possible.8(x + 3y + 4)

A. 8x + 3y + 4 B. 8x + 24y + 32 C. 8x - 24y - 32 D. 8x + 24y + 4

Mathematics

Find the difference quotient of g.g(x) = - x3 + 6x

A.  x2 - xh + h2 + 6
B. - x2 - xh - h2 + 6
C. - x2 - xh + 6h2
D. - x2 - xh - h2 - 6

Mathematics