185k views
2 votes
The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?

2 Answers

5 votes

Answer: 2

Step-by-step 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.

The domain of a quadratic function is all real numbers and the range is y ≤ 2. How-example-1
User Mlusiak
by
8.0k points
4 votes

Answer:

2

Step-by-step explanation:

i got it right

User Vinit Raj
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories