What is the upper bound of the function? f(x)=3x47x3+5x-3 Enter your answer in the box. upper bound =

What is the domain of the function? f(x) = 2-3 2x2+x-21 (-∞,-)(-1,∞) ○しろまる (-0,3) U (3,00) (-∞,-3) U (-3, 1⁄2) U(∞) (-∞,-)u(-3) U (3,∞)

What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=6x-6x4 – 6 - As xx As f(x) → ∞ f(x) → -∞ f(x)=-3x-6x+4x-5

What is the graph of the function? f(x) = +3 m ん 6 5 4 3 2 1 2 3 4 5 6 -1 -2 -3 7 प in! 4 | m 7 6 5 4 3 2 1 2 3 4 5 6 7 -1 -2 -3 +

Solve the equation. √√x+2+2=√√2x+3 Drag the choice or choices into the box to correctly state the solution to the equation. Solution to √√x+2+2=√2x+3 x = -23 x= -1 x = 1 x = 23

What are the coordinates of the hole in the graph of the function? f(x) 3x-15 3x2-11-20 Enter your answer by filling in the boxes. Enter your answer as simplified fractions, as necessary. hole:

Felix needs to determine whether x + 3 is a factor of f (x) = -2x2 - 8x3 - 2x - 63. How can Felix use the factor theorem to determine whether x + 3 is a factor of f (x)? Drag a value, expression, or phrase into each box to correctly complete the statements. Felix evaluates and determines its value to be Felix concludes that x + 3 ia factor of f(x) = = -2x4 - 8x32x-63. f(-3) ƒ (0) ƒ (3) -447 -63 -3 is is not

Kayla determines the remainder of 4237+12x15-224-28, using the remainder theorem. x+1 How does she proceed to the correct answer? Drag a value into each box to correctly complete the statements. Kayla evaluates the numerator of the rational expression when the division is! She concludes that the remainder of x = -1 x=0 x = 1 -46 -22 -20 -16

What two rational expressions sum to 3x+2 x2-3x-10 -? Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form. 3x+2 x2-3x-10 (x-5) (x+2)

How does the multiplicity of a zero determine the behavior of the graph at that zero? Select answers from the drop-down menus to correctly complete the statements. A seventh degree polynomial function has zeros of -6,0 (multiplicity of 2), 1, and 4 (multiplicity of 3). The graph of the function Choose... the x-axis at -6. The graph of the function Choose... the x-axis at 0. The graph of the function Choose... the x-axis at 1. The graph of the function Choose... the x-axis at 4.

What is the solution to the rational inequality? 4x I 3 [1,2) О (-∞,U (2,∞) ○しろまる (1,2] ○しろまる (-∞,)U [2,∞)

5.55. Disprove the statement: There exist odd integers a and b such that 4 | (3a2 + 7b2). 5.56. Disprove the statement: There is a real number x such that x+x+1 = 2x2. 5.57. Disprove the statement: There is an integer n such that n2 + n3 + n2 + n is odd. 6.11. Prove that +++(k+3)= for every positive integer n. 6.12. Consider the open sentence P(n): 9+13++ (4n+5)=4141, where n € N. (a) Verify the implication P(k) P(k + 1) for an arbitrary positive integer k. (b) Is Vn N, P(n) true? 162 Chapter 6 Mathematical Induction 6.13. Prove that 1-11+2-21++nn! (n+1)!-1 for every positive integer n. 6.14. Prove that 2! 4!-6! (2n)! [(n+1)!]" for every positive integer n. 6.15. Prove that ++++ |≤2√√ for every positive integer n. 6.16. Prove that 7 | [34+1-52-11 for every positive integer n. 6.18. Prove that 2">3 for every integer n> 10. 6.21. Prove that 4 | (5"-1) for every nonnegative integer n. 6.22. Prove that 3">n2 for every positive integer n. 6.23. Prove that 7 (32-2") for every nonnegative...