Comparing Functions, Graphs, 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

Which situation can be modelled by a linear function?

• A plumber charges $150. for house calls plus $25 for ever hour spent at your house.

• Mr. David's new Jeep worth $19500, depreciates by 12% every year.

• Rattle snakes population triples every 5 months.

• Zavier had 50 tickets for the Fair. Every ride required 6 tickets to get on.

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).

• x = 2

• x = 4

• x = 3

• x = 5

• 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).

• Both have the same y-intercept

• Cannot determine from the given information

• 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

• 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

(a)  

• F

• H

• G

• I