The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?
1 answer:
<h3>Answer: 2</h3>
Explanation:
The range is y ≤ 2 which means that y = 2 is the largest y can get. The parabola opens downward to form a sort of "frowny face" so to speak. When moving down the parabola, we'll cross the x axis at two different spots. An example of this is shown below with the equation y = -x^2+2.
There's no connection between the '2' in y ≤ 2 and the final answer of 2 roots. We could easily have a range of something like y ≤ 5 or y ≤ 8 and the answer will still remain as 2. The most roots a parabola can have is 2.
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Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.
Step-by-step explanation:
Since in this case the "elevations" are negative because are under sea level, we can call it depth.
In this sense, we are given the "elevations" or depths of two places:
Bajo del Gualicho: -72 m
Lago Enriquillo: -46 m
Keeping in mind we are actually talking about the depth of this places, we can say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:
Where represents Bajo del Gualicho and
represents Lago Enriquillo.