40 POINTS FOR RIGHT ANSWERThe functions f(x) and g(x) are described using the following equation and table: f(x) = 4(1.02)x x g(x) β1 β4 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 the y-intercept of f(x)
Question
Answer:
'' For the functionf(x) = -6(1.02)^xThe y-intercept can be determined when x = 0f(0) = -6(1.02)^0f(0) = -6
For the function g(x)At x = 0, the value of g(0) = -3
Therefore, comparing the y-intercepts of the two functions, the answer is:B. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).''
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