show that the polynomial below has a root between 0 and 1.

Only one of the following graphs could be graph of a polynomial function. Which one? Why are the others notgraphs of polynomials?

For each graph, describe a polynomial function that could represent the graph. (Indicate the degree of the function and the sign of its leading coefficient.)

Create a function in which the domain is x2 .

During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

Given the polynomial function ( f(x) = 2x^3 - 5x^2 + 3x + 1 ), . Sketch the general shape of the graph of the polynomial.

y=x^2 + 6x+ 3 function in vertex form, the graph to represent the function

what are the intercepts and asymptotes of the function 4x-8/(x-4)(x+1)

Find the number of possible positive zeros of f(x)= 2x^4+14x^3-35x^2

In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What are the x-intercepts and the y-intercepts of the function?