Use the intermediate value theorem to show that the polynomial has a real zero between the given integers. f(x)=5x^3-4x-4; between 1 and 5

Sample response: the vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. find any two x-intercepts that are equal distance from the axis of symmetry. use those x-intercepts to write factors of the function by subtracting their values from x. for example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function. which points did you include in your response? check all that apply.

The table shows the balance of a money market account over time. write a function that represents the balance y(in dollars) after t years.

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = -6. which function could heather be writing? fx) = x2 + 36x + 12 = x2 - 36x - 12 f(x) = -x + 12x + 36 f(x) = -x? - 12x - 36