These are four questions and four answers:
Question 1. What is the petrochemical production in 2005?
Solution:
1) The table reports the the annual Petrochemical Production p (Billion metric tons) for 2005 - 2011.
2) The years are indicated as 0, 1, 2, 3, 4, 5, 6.
3) There is a contradiction in the stament because there is a note telling that t = 0 is year 2002, which meant that the years are from 2002 - 2008, contradicting that the years are 2005 - 2011.
4) If you take for good the note the t = 3 is year 2005 and the corresponding production is 12.0, which is the option A).
5) If you take for good the initial statement that the years are 2005 - 2011, then t = 0 is 2005 and the corresponding production is 10.8
So you have to clarify with your teacher which is the right statement.
Question 2. What are the units.
Solution:
The units are indicated in parenthesis after the label of the row.
The label of the row is Petrochemical production p and the units are Billion metric tons.
So, the answer is the option D) billion metric tons.
Question 3. Graph the function f(x) = log base 2 of x
Solution:
You might create a table with some four points or use the knowledge about logarithm function.
Thiis is the knowledge you need to answer the question:
1) logarithm is an increasing function: as x increase f(x) increase)
2) log base a of a = 1
3) limit of log base a of x when x approaches 0 is negative infinity.
With those three properties you know that the answer is the first figure with certainty.
Question 4. Graph the function f(x) = 2^x
Solution:
These properties will give you the answer:
1) 2^x is the inverse function of log base 2 of x (the function of the question 2)
2) 2^0 = 1
3) 2^x is a growing function (as x increases 2^x increases)
4) 2^x is always positive.
5) limit of 2^x when x approaches negative infinity is 0.
With that you are sure that the graph of 2^x is the second figure.
