Question

find the domain and range each of the following where y is a function y=5x+3​

Answer 1

Answer:

8

Step-by-step explanation:

Y +X = 8

given . y+x is variable then a 5x is a term Y is only variable so the answer is 8

Answer 2

Given: y is a function given by y = 5x + 3​.

To find: The domain and range of y.

Solution:

• A function is a relation in which no two different ordered pairs have the same first component.
• If A and B are two non-empty sets.
• Then, a function from set A to set B is a correspondence by which elements of set A can be associated with the elements of set B such that all elements of set A are associated to elements of set B and an element of set A is associated to a unique element of set B.
• Set A is called the domain of the function and set B is called the co-domain of the function.
• The set of all members of B associated to members of A by the function is called the range of the function.
• In the given question, numbers such as 0, 1, 2, 3, 4, 5, 6, and so on form the domain. These values replace x in the equation y=5x+3.

        $y = 5 (0) + 3$

           $= 3$

        $y = 5 (1) + 3$

           $= 8$

        $y = 5 (2) + 3$

           $= 13$

        $y = 5 (3) + 3$

           $= 18$

        $y = 5 (4) + 3$

           $= 23$

• So, the range of the function consists of 3, 8, 13, 18, 23, and so on. These are the value obtained from the equation.

Therefore, the domain of the function is 1, 2, 3, 4, 5, and so on and the range of the function is 3, 8, 13, 18, 23, and so on.