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Use Descartes Rule of Signs to determine the number of possible positive and negative real zeros of the polynomial. 

Graph the function on your submission paper.  Label at least 3 points that you have graphed.  g(x) = – (x – 1)2 + 2

Graph the function on your submission paper.  Label all asymptotes and at least 3 graphed points. 

Identify the vertex and determine the minimum or maximum value of the function.f (x) = -2(x + 4)2 – 7

The graph of y = f (x) is given. Solve the inequality. f (x) ≤ 0

A polynomial with real coefficients of degree 11 must have at least one real zero. 

Use the remainder theorem to evaluate the polynomial for the given value of x. 

Write an informal explanation of what it means for a function to be continuous. 

Determine whether the intermediate value theorem guarantees that the function has a zero on the given interval.f (x) = x3 – 8×2 + 14x + 9; [1, 2]

Write a function based on the given parent function and the transformations in the given order.Parent function y = 1. Stretch vertically by a factor of 6.2. Reflect across the x-axis.3. Shift downward 9 units.