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so how do you find the domain of a function so consider the function 2x minus 7 what is the domain of this function what is the list of all possible x values that can exist in this function whenever you have a linear function like the one thats listed the domain is all real numbers so in interval notation x can be anything it could range from any value from negative infinity to positive infinity likewise if you have a quadratic function like x squared plus 3x minus five the domain is still real numbers or if you have a polynomial function such as 2x cubed minus 5x squared plus 7x minus 3. the domain is the same its all real numbers so if there are no fractions or square roots if you just have a simple polynomial function this is going to be the domain now what about if we have a rational function lets say if we have a fraction like 5 divided by x minus 2. how can we find the range i mean not the range but the domain of this function in this function x could be anything except a valu