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What’s the domain and range of y = |x4|

Sagot :

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Domain: (-∞,∞) {x,x∈R }

Range: [0,∞)

Solution :

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.

Different Types Of Intervals

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

Open Interval

Closed Interval

Half-Open Interval

Let us understand the interval notation and different types of intervals in detail using solved examples.

Interval Notation:

y = |x4|

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[0,∞)

Set-Builder Notation:

{y|y≥0}

Determine the domain and range.

Domain:

(−∞,∞),{x|x∈R}

Range:

[0,∞) , {y|y≥0}

More details : brainly.com/question/28135761

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