Exam 3: Polynomial and Rational Functions

Solve the problem. -A(x) = - gives the alcohol level in an average person's blood x hrs after drinking 8 oz of 100-proof whiskey. If the level exceeds 1.5 units, a person is legally drunk. Would a person be drunk after 6 Hours?

Use a graph or a table to find the limit. -

Use a graph or a table to find the limit. -

Discuss the symmetry of the graph of the polynomial function. -f(x) =

Solve the problem. -A plane suddenly experiences turbulence while in flight. At this point the change in its altitude, in feet, is represented by the following function of time: Assuming that the turbulence first hits at time t = 0, what is the maximum relative drop the plane will Experience due to turbulence? (Round the result to the nearest hundredth.)

Identify the vertex of the parabola. -f(x) = + 2

Solve the inequality. State the solution set in interval notation and graph it. -

Solve the equation. Find imaginary solutions if possible. -

Identify the vertex of the parabola. -

Sketch the graph of the function. -

Solve the quadratic inequality by graphing an appropriate quadratic function. -

Use the rational zero theorem to find all possible rational zeros for the polynomial function. -P(x) = + 46x + 27

Tell whether the graph of the function opens up or down. -P(x) =

Find all of the real and imaginary zeros for the polynomial function. -f(x) = - 48x - 128

Explain the behavior of the graph of f(x) as it approaches its vertical asymptote. -

Use synthetic division to find the function value. -f(x) = - 7; find f(2).

Solve the problem. -In the following formula, y is the minimum number of hours of studying required to attain a test score of x: . How many hours of study are needed to score 88?

Tell whether the graph of the function opens up or down. -P(x) = - 1

Find the y-intercepts and any x-intercepts. -y = - 7

Tell whether the graph of the function opens up or down. -P(x) = + 5