Question

The function f(x)= 1000(2)^x where x is the number of weeks, represents the cicada population on a farm. Use a function to answer the following nation.

What is the y-intercept?

The y intercept represents?

What does the 2 in the function represent?

Answer 1

Explanation:

1. The y-intercept is_______?

-1,000

2. The y-intercept represents______?

-the amount of cicadas initially on the farm.

3. What does the 2 in function represent?

-The number of cicadas doubles every week.

Answer 2

The function is:
f ( x ) = 1,000 · 2^x
x is the number of weeks.
1. y - intercept is : y = 1,000.
2. The y-intercept represents the cicada population at the start ( for x = 0 ).
f ( 0 ) = 1,000 · 2^0 = 1,000 · 1 = 1,000.
3. The 2 in the function shows that cicada population doubles every week.