Question

x - intercept(s): select choice
y - intercept: select choice
positive: sel
negative: se
(0, -2)
(-1.5, 0) and (1.5, 0)
(-1.5, 0)
(1.5, 0)

Explanation:

Step1: Identify x - intercepts

The x - intercepts are the points where the graph crosses the x - axis. From the graph and given options, they are (-1.5, 0) and (1.5, 0).

Step2: Identify y - intercept

The y - intercept is the point where the graph crosses the y - axis. Given as (0, -2).

Step3: Determine positive intervals

The function is above the x - axis (positive) when \(x < - 1.5\) or \(x > 1.5\).

Step4: Determine negative intervals

The function is below the x - axis (negative) when \(-1.5 < x < 1.5\).

Answer:

x - intercept(s): (-1.5, 0) and (1.5, 0)
y - intercept: (0, -2)
positive: The function is positive for \(x < - 1.5\) or \(x>1.5\)
negative: The function is negative for \(-1.5 < x < 1.5\)