f(x) =-2 . 5^x . g (x) is represented by the following table. Which function has the greater y-intercept?
x -2 -1 0 1 2
g(x) 0.03125 0.125 0.5 2 8
f(x)
g(x)
The functions have the same y-intercept
There is not enough information given to solve the problem
In order to determine which function has the greater y-intercept, we need to find the value of f(x) and g(x) at x = 0.
For f(x) = -2 . 5^x . g(x), we can substitute x = 0:
f(0) = -2 . 5^0 . g(0) = -2 . 1 . g(0) = -2 . g(0)
For g(x), we are given the values of g(x) at x = 0:
g(0) = 0.5
Therefore, we can conclude that f(0) = -2 . g(0) = -2 . 0.5 = -1.
Since the y-intercept is the value of the function when x = 0, we can see that the function f(x) has a y-intercept of -1. However, we do not have enough information to determine the y-intercept of g(x).