Find the real zeros of the polynomial use the intermediate

Question

Assignment

Problem 1: Jules wants his house to be painted. He contacts two companies to have estimates. Company A charges a $250 fee plus $10 per hour. Company B requires $20 per hour. For how many hours Company B will be better for Jules?

Problem 2: Solve: - (x³ - 21x / 2x) = (x² - 3x)

Problem 3: Use the Intermediate Value Theorem to determine if the function:

f(x = -2x³ + 4x² - 3

has a zero in the interval [-1,2].

Problem 4: Solve: (x + 2) / (x - 2) ≥ 0

Problem 5: Find the real zeros of the polynomial: f(x) = -7x⁶ (x + 5)⁴ (x - 2)³

Problem 6: Solve the following for y: x = (3y + 1) / (2 - y)

Problem 7: Solve: (3t² + 2t - 4) / (4t³ + 3t² + 2t) = 1

The following is needed to solve Problems 8, 9 & 10.

Consider the function: f(x) = (2x² - 6) / (3x² - 15x - 42)

Problem 8: Find the domain of the function.

Problem 9: Find the vertical asymptote(s).

Problem 10: Find the horizontal asymptote.