f(x)= -2 * 5^x . g(x) is represented by the following table. Which function has the greater y-intercept?
x g(x)
-2 0.03125
-1 0.125
0 0.5
1 2
2 8
a. f(x)
b. g(x)
c. The functions have the same y-intercept.
d. There is not enough information given to solve the problem
To find the y-intercept of a function, we need to determine the value of the function when x = 0.
For f(x) = -2 * 5^x, we have:
f(0) = -2 * 5^0 = -2 * 1 = -2
For g(x), we have:
g(0) = 0.5
Comparing the two, we see that f(0) = -2 and g(0) = 0.5.
Therefore, the function with the greater y-intercept is f(x).
The correct answer is: a. f(x)