Question

IF R = {(2, 1),(4, 3),(4, 5)}, then range of the function is? *​

Answer 1

Answer:

range is {1,3,5}

and domain is {2,4}

Answer 2

Answer:

The range of the function R = {(2, 1),(4, 3),(4, 5)}, is {1 , 3 , 5}

Step-by-step explanation:

Function:

• A function is a relationship between a number of inputs and outputs.
• A function is an association between inputs in which each input is coupled to exactly one output.
• Each function has a range, codomain, and domain.
• Typically, a function is represented as f(x), where x is the input.

Domain:

• The domain of a function is the set of values that we are allowed to enter into our function.
• This set consists of the x values for a function like f(x). The set of values that a function can accept as input is known as its domain.
• The function outputs this list of values once we enter an x value.

Range of a function:

• The collection of potential output values for a function is known as its range.
• For example the range is the non-negative real numbers for the function f(x)=x2 on the domain of all real numbers (xR), which can be expressed as f(x)≥0.

Given:

R = {(2, 1),(4, 3),(4, 5)}

R = {(x, y)

Where x denotes the domain and y denotes the range.

x = {2,4}

y = {1,3,5}

The domain consist of all input values which given in x axis.

The range consist of all output values which given in y axis.

Therefore {1 , 3 , 5 } is the range of the function.

Final answer:

The range of the function R = {(2, 1),(4, 3),(4, 5)}, is {1 , 3 , 5}

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