(03.04 mc)

the functions f(x) and g(x) are described using the following equation and table:

f(x) = 3(1.02)x

x g(x)
−1 −4
0 6
1 8
2 10

which statement best compares the y-intercepts of f(x) and g(x)?

the y-intercept of f(x) is equal to the y-intercept of g(x).
the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
the y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
the y-intercept of g(x) is equal to 2 plus y-intercept of f(x).

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph