Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = x3
(i) [4.9, 5.1] (ii) [4.99, 5.01] (iii) [4.999, 5.001]
A. (i) 25.03; (ii) 25.0003; (iii) 25.000003; approaches 25.
B. (i) 10; (ii) 10; (iii) 10; approaches 10.
C. (i) 1.5002; (ii) 0.1500002; (iii) 0.015; approaches 2.
D. (i) 75.01; (ii) 75.0001; (iii) 75.000001; approaches 75.
Answer: D
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Determine which of the following methods is the best choice for solving the given equation: factoring, using the principle of square roots or using the quadratic formula. Then, solve the equation.x2 - 10x + 34 = 0
A. Factoring; -5, 3 B. Quadratic formula; 5 ± 3i C. Square root principle; 10 ± 6i D. Square root principle or factoring; 8, 2
Round as indicated.433 to the nearest hundred
A. 300 B. 400 C. 410 D. 500
Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 4x + 2; relative to f(x) = 4x
A. Moved right 2 unit(s)
B. Moved up 2 unit(s)
C. Moved left 2 unit(s)
D. Moved down 2 unit(s)
Write the first five terms of the arithmetic sequence.a1 = -30, d = 7
A. -16, -9, -2, 5, 12 B. -30, -23, -16, -9, -2 C. -2, -9, -16, -23, -30 D. -16, -23, -30, -37, -44