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?

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)

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?

If the point (-1/2, 1) is on the graph of f(x)=a(x-3)^2+50, what is the value of a?

List all the possible rational rooots  for the polynomial F(X)=2x^2 -9x+3