Comparing Functions, Graphs, and Tables

Which of the functions below corresponds to the table on the left?

• y = 2x + 1

• y = 3x + 1

• y = -2x + 1

• y = -3x + 1

If a function increases by a common difference, what kind of function does it represent?

• Quadratic

• Linear

• Exponential

• Neither

A lottery winner must choose between g(x) and h(x) for the distribution of winnings. Each month the distribution increases as shown in the tables. If the payout will last two years, which plan should the winner choose and why?

• The winner should choose g(x) because the table starts with thousands.

• The winner should choose h(x) because it will eventually yield more money.

• g(x) will eventually yield more money than h(x).

• The graph of f(x) always exceeds the graph of g(x) over the interval [0,5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0,5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0,4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0,4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

Which of these tables represent a function?

• A

• B

• C

• D

• all of the above

• The slope of the first function is greater

• The slope of the second function is greater

• Both slopes are equal

• The slopes are equal in magnitude but opposite in sign

Which statement below is TRUE regarding the two functions?

• Both functions are linear

• Both functions are increasing

• Both functions have a y-intercept of 1

• Both functions are exponential growth

Does this table represent a function?

• Yes

• No

Does this describe a function?

• Function

• Not a Function

Which of the following represents a greater rate of change?

• The first equation

• The second equation

• Both have the same rate of change

• Cannot be determined from the given information