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Algebra 1

5.8.4 Function Notation

Algebra 15.8.4 Function Notation
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The graph shows the population of beavers in a forest for different numbers of years after 1995. The beaver population is growing exponentially.

A scatter plot showing the number of beavers over 5 years. Red points show increases: (1,100), (2,200), (3,400), (4,800). The y-axis is number of beavers and the x-axis is time in years.
1.

Explain why we can think of the beaver population as a function of time in years.

2.

What is the meaning of the point labeled QQ in this context?

3.

Write an equation using function notation to represent this situation.

4.

Which equation is most appropriate for modeling this data?

x 1 2 3 4 5
y 14 26 74 266 1034

Multiple Choice:

y = 10 + ( 4 x ) 2 y = 10 + ( 4 x ) 2

y = 10 + 4 x y = 10 + 4 x

y = 10 + 4 x 2 y = 10 + 4 x 2

y = 10 + 4 1 x y = 10 + 4 1 x

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