Given four functions, place them in order of their y-intercept, from highest to lowest. f(x) g(x) h(x) j(x) the function f of x equals 4 to the x minus 2 power, plus 2 g(x) = 3(20)x Al is monitoring the decay of a population of fungi. It is reducing in half every four weeks. The population started at 14. x j(x) 1 5.00 2 2.50 3 1.25

Answer:The order of the function according to the y-intercept is  [tex]h(x)>j(x)>g(x)>f(x)[/tex].Step-by-step explanation:The given function f(x) is,[tex]f(x)=4^{x-2}+2[/tex]Put x=0,[tex]f(0)=4^{0-2}+2=2.0625[/tex]The y intercept of f(x) is 2.0625.The given function g(x) is,[tex]g(x)=3(20)^x[/tex]Put x=0,[tex]g(x)=3(20)^0=3[/tex]The y intercept of g(x) is 3.The h(x) is monitoring the decay of a population of fungi. It is reducing in half every four weeks. The population started at 14.Since the initial population is 14 therefore the y intercept of h(x) is 14.The value of y in g(x) are in geometric progression with half as common ratio or the function j(x) can be defined as,[tex]j(x)=10(\frac{1}{2} )^x[/tex]Put x=0,[tex]j(0)=10(\frac{1}{2} )^0=10[/tex]The y intercept of j(x) is 10.Therefore the order of function according to the y-intercept is,[tex]h(x)>j(x)>g(x)>f(x)[/tex]