Cool Down
Here are two graphs representing the function given by and the function defined by .
In function g, is greater than or less than 2? Explain how you know.
Compare your answer:
is greater than 2.
- The graph of starts off being below the graph of , but later it surpasses the graph of . Since grows more quickly than , the growth factor for must be greater than the growth factor for , which is 2.
- The growth factor from the first point to the second point is 4 because , and 4 is greater than 2.
Write an equation that defines . Explain your answer.
Compare your answer:
because the initial value is 3 and the -value is multiplied by 4 when the -value increases by 1, so the growth factor is 4.
and represent the number, in thousands, of social media followers of two organizations as a function of years since 2010. What does the intersection of and mean in this context?
Compare your answer:
It represents the time, in years since 2010, when the two organizations have the same number of followers.