Solve the problem. You must show work or no credit will be given. a. Identify the horizontal asymptote (if any).b. If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the horizontal asymptote. Hint: Set the equation equal to the horizontal asymptote and solve to see if it crosses.f (x) =

Write a polynomial f (x) that meets the given conditions. You must show work or no credit will be given. Degree 3 polynomial going through the point (0,42) with zeros of 1, 7, and 6.

Solve the problem. You must show your work or no credit will be given.A fireworks mortar is launched straight upward from a pool deck platform 4 m off the ground at an initial velocity of 61 m/sec. The height of the mortar can be modeled by where h(t) is the height in meters and t is the time in seconds after launch. What is the maximum height? Round to the nearest meter.

Find the leading term to determine the end behavior of the graph of the function. f (x) = 8×3( -x +4 )(7x – 6)4

Use synthetic division to divide the polynomials. You must show work or no credit will be given.

Find all the zeros, given that  is a factor of . You must show work or no credit will be given. f (x) = x3 + 10×2 + 25x + 18

Determine the vertical asymptote(s) of the graph of the function. You must show work or no credit will be given. f (x) =

Assume the end behavior and all turning points are represented in the graph given below.a. Determine the minimum degree of the polynomial based on the number of turning points.b. Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even.c. Approximate the real zeros of the function, and determine if their multiplicity is odd or even.

1.5.1. Define rural population.       (1)

1.3.  Study the ARTICLE on the population of South Africa in FIGURE 1.3. then answer the questions which follow.    Right click on the BUTTON to select open in a new tab.