Answer:
The value of g(x) ar x = 4 is 84.
i.e. g(4) = 84
Step-by-step explanation:
Given the table
x 0 1 2 3 4
g(x) 0 3 6 15 BLANK
The average rate of change of g(x) over the interval 1 ≤ x ≤ 4 is 27.
at x₁ = 1, g(x₁) = 3
at x₂ = 4, g(x₂) = g(4) = ?
The average rate of change = 27
Using the formula involving the average rate of change
Average rate = [g(x₂) - g(x₁)] / [ x₂ - x₁]
substituting x₁ = 1, g(x₁) = 3, x₂ = 4 and Average rate = 27
27 = [g(4) - 3] / [4 - 1]
27 = [g(4) - 3] / [3]
27×3 = g(4) - 3
81 = g(4) - 3
81+3 = g(4)
84 = g(4)
Thus,
The value of g(x) ar x = 4 is 84.
i.e. g(4) = 84
