Answer:
The correct option is 3.
Step-by-step explanation:
From the given graph it is clear that the y-intercept of f(x) is 2 because the graph of f(x) intersect the y-axis at 2.
The given function is
[tex]g(x)=3(20)^x[/tex]
Substitute x=0 in the above function to find the y-intercept.
[tex]g(x)=3(20)^0=3[/tex]
The y-intercept of g(x) is 3.
It is given that the populate started at 14 and it is reducing in half in every four weeks. So the required function is
[tex]h(x)=14(\frac{1}{2})^{\frac{x}{4}}[/tex]
Substitute x=0 in the above function to find the y-intercept.
[tex]h(x)=14(\frac{1}{2})^{\frac{x}{4}}=14[/tex]
The y-intercept of h(x) is 14.
The function j(x) passes through the points (1,5.00), (2,2.50) and (3,1.25).
The values of function is exactly half of its previous values, so the value of function j(x) at x=0 is twice of its value at x=1.
[tex]j(0)=2\times j(1)[/tex]
[tex]j(0)=2\times 5=10[/tex]
The y-intercept of j(x) is 10.
The order of their y-intercept, from lowest to highest is f(x), g(x), j(x), h(x). Therefore the correct option is 3.
