Domain Equation Examples

Domain and range exponential and logarithmic fuctions.

Domain equation examples. In fact the domain of a particular solution to a differential equation is the largest open interval containing the initial value on which the solution satisfies the differential equation. Least squares trendline and correlation. We already know that the absolute value function results in a non negative value always.

However the most common example of a limited domain is probably the divide by zero issue. This could be the result of for example a function with x 5 in the denominator. When asked to find the domain of a function start with the easy stuff.

Find the domain of f x 5x 3. Find the domain of the function f x 2x 2 12x 5. The domain of a linear function is all real numbers therefore domain.

This means that the domain goes from 1 to 10 inclusive but that there is a gap in the domain at 5. Some textbook authors call the domain of a solution. First look for any values that cause you to divide by zero.

Domain and range examples. Setting up linear models. A function with a radical.

For example the function latex f left x right frac 1 sqrt x latex has the set of all positive real numbers as its domain but the set of all negative real numbers as its range. Begin align 6 x geq 0 6 x geq 0 x leq 6 end align domain and range of a square root function. One to one and onto functions.