Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.
A. P(x) = x4 - 2x2 - 3x + 12;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, -1.21] and [.97, ?);
Decreasing over [-1.21, .97]
B. P(x) = 2x3 - 12x2 - 5x - 12;
domain: (-?, ?); range: (-?, ?);
Increasing over [-.98, 3.09];
Decreasing over (-?, -.98] and [3.09, ?)
C. P(x) = -3x5 + 2x4 - x2 + 2x - 12;
domain: (-?, ?); range: (-?, ?);
Increasing over (-?, -1.33] and [.67, ?);
Decreasing over [-1.33, .67]
D. P(x) = -3x3 - 10x2 + 5x + 12;
domain: (-?, ?); range: (-?, ?);
Increasing over [-2.47, .19];
Decreasing over (-?, -2.47] and [.19, ?)
Answer: D
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Use quadratic regression to model the following data. Round your answers to two decimal places, if necessary. x 1.44 3.11 5.43 6.87 8.15 y 7.93 3.65 4.41 6.14 8.77?
A. ?
B.
C. ?
D. ?
Write the expression using a multiple of a logarithm.logby3
A. 3 logby3 B. b log30y3 C. b log3y D. 3 logby
Find the inverse matrix
What will be an ideal response?
Solve the problem.A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $65 per toilet. The company expects to sell the toilets for $157. Formulate a function C(x) for the total cost of producing x new toilets and a function R(x) for the total revenue generated from the sales of x toilets.
A. C(x) = 16600 + 157x; R(x) = 65x B. C(x) = 65x; R(x) = 157x C. C(x) = 16,665; R(x) = 157 D. C(x) = 16600 + 65x; R(x) = 157x