Find or investigate the function as requested.The set of ordered pairs is a function. Find a rule that could describe the function.{(5, 15), (6, 18), (8, 24), (10, 30)}
A. Multiply the input number by 3.
B. Add 3 to the input number.
C. Cube the input number.
D. Square the input number.
Answer: A
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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = x2 - 3, [0, 8], midpoint
A.
B.
C.
D.
Simplify. Your answer should be in lowest terms. +
A.
B.
C.
D.
The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an equation for the stretched or compressed graph.y = 1 + stretched vertically by a factor of 9
A. y = 1 +
B. y = 9 +
C. y = +
D. y = 1 +
Solve the problem.In one study, a type of fish was exposed to a toxin. The table lists toxin concentrations in the fish after a certain number of hours. The concentration C of the toxin in the fishes' bloodstream was measured in micrograms of toxin per gram of fish after x hours of exposure. (i) Describe the relationship between x and C; (ii) Use regression to find a cubic polynomial function f(x) that models the data; (iii) graph C and the data; (iv) Concentrations above 30 are lethal to the fish. Determine how many hours of exposure it takes for this to occur.
A. (i) As x increases, C increases;
(ii) f(x) ? 0.38x3 - 4.35x2 + 22.97x - 33.40
(iii)
(iv) x ? 6.0 (approximately)
B. (i) As x increases, C increases;
(ii) f(x) ? 0.38x3 - 5.35x2 + 24.97x - 33.40
(iii)
(iv) x ? 9.1 (approximately)
C. (i) As x increases, C increases;
(ii) f(x) ? 0.28x3 - 5.35x2 + 22.97x - 33.40
(iii)
(iv) x ? 6.2 (approximately)
D. (i) As x increases, C increases;
(ii) f(x) ? 0.28x3 - 4.35x2 + 24.97x - 33.40
(iii)
(iv) x ? 7.9 (approximately)