contestada

Consider the first five terms of the following sequence.
2, 6, 18, 54, 162, ...
If the sequence defines a function, what is a reasonable domain and range of the function?
O A. Domain: all real numbers; Range: all real numbers
B. Domain: {1, 2, 3, 4, 5, ...}; Range: {2, 6, 18, 54, 162, ...}
C. Domain: {1, 2, 3, 4, 5, ...}; Range: all real numbers
O D. Domain: all real numbers; Range: {2, 6, 18, 54, 162, ...}

Respuesta :

Answer:

B. Domain: {1, 2, 3, 4, 5, ...}; Range: {2, 6, 18, 54, 162, ...}

Step-by-step explanation:

2, 6, 18, 54, 162

This is a geometric sequence because it is increasing by multiplication. The common ration of the sequence is *3.

Our sequence values will serve as the y-values, or the range, and our x-values will be the term number.

Domain, or x-values: {1, 2, 3, 4, 5, ...}

Range, or y-values: {2, 6, 18, 54, 162, ...}

It is not A or D because we can't have negative term values. "All real numbers" implies all positive and negative integers.

The range also cannot be all real numbers for the same reason.

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas