Question

Explain what happens on the graph of y = -1/2x + 2 when x = 4, given that the graph is positive over (-60, 4) and negative over (4, [infinity]).

Answer 1

When x = 4, the graph of y = -1/2x + 2 intersects the x-axis (y = 0).

Step-by-step explanation:

Based on the given information, the graph of y = -1/2x + 2 is positive (above the x-axis) for x values less than 4, and negative (below the x-axis) for x values greater than 4. When x = 4, we can substitute this value into the equation to find the corresponding y value:

y = -1/2(4) + 2

y = -2 + 2

y = 0

So, when x = 4, the graph of y = -1/2x + 2 intersects the x-axis (y = 0).