Answer:
- The range is {y l y ≤ 6}.
- The function is increasing over the interval (-∞, -2).
- The function has a positive y-intercept.
Step-by-step explanation:
The attached graph shows the graph opens downward, so the vertex at (-2, 6) is a maximum. The y-intercept is the constant, +2.
Range
The range is the vertical extent of the function. Its upper limit is the maximum value of the function (6), and its lower limit is negative infinity.
The range is {y l y ≤ 6}.
Increasing
The graph opens downward, so it is increasing to the left of its maximum value, and decreasing to the right of its maximum. The x-coordinate of the maximum (-2) defines the upper limit of the increasing interval.
The function is increasing over the interval (-∞, -2).
Y-intercept
The y-intercept of the graph is where it crosses the y-axis. The value of x is zero there, so the value of the function is the value of its constant, +2.
The function has a positive y-intercept.
