Can someone explain domain and range? What is the domain and range of f(x)=7x+1?

Question

Thank you :)

Answer 1

Domain is the set of x values that can be used in the equation. In this case, all values of x from negative infinity to positive infinity are included in the domain.

On the other hand, if you had the function f(x) = 1/x, then 0 would not be part of the domain, since you cannot divide 1 by 0. It would result in a hole in the graph.


Range is the y values that the graph includes. Again, for the function you stated, all values from neg infinity to pos infinity are in the range, because that function is a straight line that extends forever in both directions, from the lower left corner of the coordinate plane to the upper right corner.

Answer 2

Think about it this way....

You have a function f(x) defined as 7x+1. What are the values you CANNOT plug into X because it will make the equation invalid? Can you think of any? If not, your your domain is ALL REAL NUMBERS.

Now, think about this... when your domain, that is X, changes and takes values of all real numbers... what would Y be? Are there any number IT WON'T BE? No, correct? Then your range is ALL REAL NUMBERS.

Think of domain as numbers you can make X to. Think of range as all possible numbers Y can become when X changes in the domain.

Answer 3

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RE:
Can someone explain domain and range? What is the domain and range of f(x)=7x+1?
Thank you :)

Answer 4

The domain is the set of numbers that "x" can be. so for this function, x can be any real number for the function to work. the range is the set of numbers that f(x) can be when the domain is plugged into x^2. since the domain is all real numbers, then you plug in each real number to find the range. this means that the range is also all real numbers

Answer 5

The domain is all the x values; the range is all the y or f(x) values.

f(x) = 7x + 1
domain: (-∞,∞)
range: (-∞,∞)