Find the domain and range of the graph below:

The Domain of is all the real numbers, and

The Range of is   or

The diagram shows the graph of the quadratic function

The domain of is all the real numbers, since the function has defined values for all real values of .

The range of is the set of values that can assume. The square function has a range

or the half-open interval .

This means that the negative of the square function will have the range

or the half-open interval .

So, the domain of is the open interval (all the real numbers), and the range of is the half-open interval (or, )

Learn more about function domain and ranges here: link

Domain is all real numbers; Range is all numbers less than or equal to 0

Step-by-step explanation:

Domain covers x values, range covers y values.  The domain of an x^2 parabola, which is what this is, has a domain of all real numbers.  Meaning that while the branches of the function keep going up and up and up or down and down and down, the values of x will never stop growing.

The range here is indicative of the lowest y value to the highest that the function covers.  In this case, since the parabola is upside down, we have the highest to the lowest.  The highest that the function goes up the y axis is right at the origin, where y = 0.  Then it drops down into forever.  So the range is all values of y less than or equal to 0

it is b)

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