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) = -x5 - 3x2 + 6; 
domain: (-?, ?); range: [3.75, ?); 
Increasing over [-2.21, 0] and [2.21, ?);
Decreasing over (-?, -2.21] and [0, 2.21]
B. P(x) = x4 - 3x2 + 6; 
domain: (-?, ?); range: [3.75, ?); 
Increasing over [-1.24, 0] and [1.24, ?);
Decreasing over (-?, -1.24] and [0, 1.24]
C. P(x) = x5 + 2x3 + 6; 
domain: (-?, ?); range: [4.86, ?); 
Increasing over [-1.64, 0] and [1.64, ?);
Decreasing over (-?, -1.64] and [0, 1.64]
D. P(x) = x6 - 2x2 - 6; 
domain: (-?, ?); range: [4.86, ?); 
Increasing over [-.98, 0] and [.98, ?);
Decreasing over (-?, -.98] and [0, .98]


Answer: B

Mathematics

You might also like to view...

Describe how the sentence is ambiguous.There was a 15% decrease in donations to the homeless shelter between 1996 and 2000, a year in which $50,000 was collected.

What will be an ideal response?

Mathematics

Solve problems using a calculator.The number of therms has been established on a customer's gas bill, and the monthly bill is calculated as follows: Item ChargeCustomer charge $0.16326 per dayRegulatory fee $0.05267 per dayGas usage $0.89251 per therm for the first 48 therms $1.07352 per therm for each therm over 48 thermsSuppose that during a 31-day month a customer used 111 therms. What would the customer's total bill be? (Round to the nearest cent, if necessary.)

A. $118.05 B. $117.17 C. $118.94 D. $117.39

Mathematics

Find the function value.If Q(x) = -2x2 - 6x - 4, find Q(0)

A. 0 B. -2 C. -4 D. -6

Mathematics

Provide an appropriate response.If the graphs of a system of two equations are both circles, what are the possible numbers of solutions with real coordinates of this system?

What will be an ideal response?

Mathematics