How to determine the domain of a linear function

The video tutorial explains how to find the domain of a linear function, specifically f(x) = 2x - 3. It begins by defining the domain as the set of all x-values that make the function true. The instructor then graphs the function, highlighting its continuous nature with no breaks, meaning every x-value has a corresponding y-value. The video contrasts this with functions that have restrictions, such as f(x) = 1/x and f(x) = √x, where certain x-values are not allowed. The tutorial concludes that the domain of the linear function is all real numbers, from negative infinity to infinity.

What is the domain of a linear function like f(x) = 2x - 3?

• Only negative x-values

• Only integer x-values

• All real numbers

• Only positive x-values

How does the graph of f(x) = 2x - 3 behave?

• It has breaks at certain points

• It is a circle

• It is continuous without breaks

• It is a parabola

Which of the following functions has a restriction on its domain?

• f(x) = x + 5

• f(x) = 2x - 3

• f(x) = x^2

• f(x) = 1/x

Why can't x be zero in the function f(x) = 1/x?

• Because it would make the function zero

• Because it would make the function positive

• Because it would make the function negative

• Because it would make the function undefined

What is the domain of the function f(x) = √x?

• Only positive integers

• x must be greater than or equal to zero

• All real numbers

• x must be less than zero