Final answer:
The x-intercepts of the function y = 2(x+10)(x-1) are found by setting y to 0, which gives us two solutions, x = -10 and x = 1. These are the points where the graph touches the x-axis.
Step-by-step explanation:
The x-intercepts of the equation y = 2(x+10)(x-1) are the points where the graph of the equation crosses the x-axis, which occurs when y=0. To find these intercepts, we set y to 0 and solve for x:
- 0 = 2(x + 10)(x - 1)
- 0 = (x + 10)
- x = -10
- 0 = (x - 1)
- x = 1
Therefore, the x-intercepts are -10 and 1.