Domain & Range of a Function | Definition, Equation & Examples
2023年11月21日 · The g function is an exponential function so its domain is {eq}(-\infty, \infty) {/eq}, and its range is {eq}(0, \infty) {/eq}. The inverse of a function switches the x and y coordinates, so it ...
Domain & Range of Rational Functions | Definition & Graph
2023年11月21日 · Finding the range of a rational function is similar to finding the domain of the function but requires a few additional steps. First, interchange values of x and y in the function. For example if ...
Finding Domain & Range from the Graph of a Continuous …
Finding the Domain & Range from the Graph of a Continuous Function. Step 1: To find the domain of the function, look at the graph, and determine the largest interval of {eq}x {/eq}-values for ...
Finding a function's domain from the function's formula
*To clarify, the domain is part of the definition of the function and is usually specified when the function is defined. In this case though, textbook authors have overloaded the term. The functions are assumed to be defined on the real numbers, and you are asked to determine which exact subset of the real numbers constitutes the domain.
Domain of a Function | Definition & Examples - Lesson - Study.com
2023年11月21日 · Finding the Domain of a Function. There are two methods used to find the domain of a function: algebra and graphing. Algebraically, let's take a look at the following function:
Determining the Domain & Range of Combined Functions
Step 3: The domain of the combined function, {eq}g\left(x\right), {/eq} consists of those values of {eq}x {/eq} which belong to the domain of both functions from Step 2 such that the combined ...
How to Find the Domain of an Advanced Logarithmic Function
Finding the Domain of an Advanced Logarithmic Function: Example Problem 2 Find the domain of the function {eq}f(x) = \ln(x^2 + x - 2) {/eq}. Write your answer in both interval notation and set ...
Domain of Piecewise Functions | Notation & Method - Lesson
2023年11月21日 · The domain of a function is the set of input, or x, values for which the function is defined. There are two methods to determine the domain of a piecewise function. ... Finding the X & Y ...
How to Find the Domain of a Fractional Function Involving Radicals
Finding the Domain of a Fractional Function Involving Radicals. Step 1: Determine what values, if any, result in the denominator of the function equalling zero. These values will be excluded from ...
Finding Domain of a Function with a natural logarithm at the ...
2016年6月15日 · The function is undefined for the conditions: a denominator of a fraction being zero. a logarithm being negative or equal to zero. Hence, is the system: $$ \begin{cases} & x \ne 0\\ & x > 0 \end{cases} $$ and the domain is $\forall x\in\mathbb R: x > 0$ Following the result showed in wolframalpha the domain is $\forall x\in\mathbb R: x > 1$ or ...