Write the left side of each equation as a product of linear factors, and state the solutions.
a. x^3 − 1 = 0
b. x^3 + 8 = 0
c. x^4 + 7x^2 + 10 = 0

Look at the following graph of the given equation. determine whether the equation is a function. explain why or why not.

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)