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Given various values of the linear functions f (x) and g(x in the table, determine the y-intercept of (f − g)(x).

x −6 −4 −1 3 4
f (x) −36 −26 −11 9 14
g(x) 15 11 5 −3 −5

ANSWERS:
(0, 9)
(0, 3)
(0, −3)
(0, −9)

User RandomB
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1 Answer

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23 votes

Final answer:

The y-intercept of (f - g)(x) is the value of the function when x = 0, which is not provided in the table. Without additional data points or the explicit formulas for f and g, we cannot confidently determine the y-intercept of (f - g)(x).

Step-by-step explanation:

To determine the y-intercept of the function (f - g)(x), we need to evaluate the difference between f(x) and g(x) when x = 0. Although the values for x = 0 are not given directly in the table, we can use the y-intercept definition: it's the value of a function when x = 0. The y-intercept of a linear function can be found using the formula y = mx + b, where b is the y-intercept and m is the slope of the line.

From the table, we interpolate to find what f(0) and g(0) would be based on the given values. However, in this problem, we're not provided with enough information to accurately interpolate these values, so we cannot determine the y-intercept precisely without additional data points or explicit function formulas for f and g. Due to this, we cannot confidently provide an answer to this question.

User Nakul Sudhakar
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