C. Evaluate y = (x + 3)(- 2) at x = 1 and then at x = 12. Show your work below. D. Turn on Show x-intercepts. What happens when the function is evaluated at its
x-intercepts?
The x-intercepts are the roots, or solutions, of the related equation (X + 3)(x - 2) = 0.
E. If the product of (x - 5) and (x - 2) is zero, what must be true about at least one of these factors?
This is the zero product property.
2. With a set to 1, vary the values of r, and rą to graph different functions of the form y = (x - 1)(x - 2).
What is the value of y = (x - 1)(x - 2) at r, and rz?
3. Graph y = 4(x - 1)(x + 5) in the Gizmo.
A. What are the values of r, and r, for this function?
r =
12 =
A. Why are r, and raroots of the equation 4(x - 1)(x + 5) = 0?
B. Vary a to graph different functions of the form y = a(x - 1)(x + 5). Does a have any effect on the
roots?
Explain