The problem gives a quadratic equation in factored form: $y = 2.1(x-1)(x-9)$. We need to find the x-intercepts of the graph of this equation and enter them as ordered pairs (points).
2025/7/3
1. Problem Description
The problem gives a quadratic equation in factored form: . We need to find the x-intercepts of the graph of this equation and enter them as ordered pairs (points).
2. Solution Steps
To find the x-intercepts, we need to find the values of when . The equation is given as . Setting , we get:
Since is a constant and not zero, we have:
This equation is satisfied if either or .
If , then . The x-intercept is .
If , then . The x-intercept is .
The leftmost x-intercept is the one with the smaller x-value, which is . The rightmost x-intercept is .
3. Final Answer
The leftmost x-intercept is .
The rightmost x-intercept is .