Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: graph of 3 x to the fourth, minus x cubed, plus 3 x squared, plus x minus 3 What is the average rate of change from x = 0 to x = 1
Question
Answer:
f(x) = 3x^4 - x³ + 3x² + x - 3x = 0f(0) = 3(0)^4 - 0³ + 3(0²) + 0 - 3f(0) = 0 - 0 + 0 + 0 - 3f(0) = -3
f(1) = 3(1)^4 - 1³ + 3(1²) + 1 - 3f(1) = 3 - 1 + 3 + 1 -3f(1) = 7 - 4f(1) = 3
x = 0 : f(0) = -3x = 1 ; f(1) = 3
1 - 0 / 3 - (-3) = 1 / 6
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10 months ago
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