Question

3.An increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1). If this function is defined only when x is greater than −1 and y is greater than 1, what are the domain and range of this function?

A.The domain is (−1,+[infinity]) and the range is (−1,+[infinity]).


B.The domain is (−1,+[infinity]) and the range is (1,+[infinity]).


C.The domain is (1,+[infinity]) and the range is (−1,+[infinity]).


D.The domain is (1,+[infinity]) and the range is (1,+[infinity]).



4.The function y=3x−6 is defined for all values of y less than 12. Determine the value of x that corresponds to the upper boundary y=12.


A.18


B.6


C.2


D.54


5.The function y=2x+5 is defined for every y-value that is not less than 11. What is the domain of this function?


A.(−[infinity], 3)


B.[3,+[infinity])


C.(3,+[infinity])


D.(−[infinity], 3]

Answer 1

3.

C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])

4.

B. 6

5.

A. (-[infinity], 3)

Explanation:

The Linear function has one independent and one dependent variable. The value of dependent variable can be found by taking the equation equals to 0. The domain function is set to analyse the range. The range can be set as -1 to 1. Any number between this is acceptable but outside this is not considered in the domain.