2023年11月21日 · The domain and range of a function are important concepts in mathematics. Below are the definitions of the domain and range of a function. The domain of a function is the set of all input values ...

2023年11月21日 · - To find the range of the function, first, interchange variables x and y, solve for y and find the domain of the new function. When answering the question, make sure to write the answer in terms ...

Find the domain of the rational function {eq}f(x) = \frac{4}{x^2 + 3x - 4} {/eq} in interval notation. Step 1: The denominator of a function is the bottom number or equation of a fraction.

2023年11月21日 · To find the domain of this function, we need to remember the definition of a domain and then do simple algebra. One thing we remember about the domain of a function is that it cannot include a ...

2023年11月21日 · To find the domain of a piecewise function on a graph, look at all the potential gaps in the graph. These spaces are at x = 1 and x = 3. Look at the dots at these locations.

Step 1: We work sub-function by sub-function to find the domain of the individual sub-functions. We start with the blue function. Moving from left to right, the blue curve is first defined by a ...

Find the domain of the function {eq}f(x) = \ln(x^2 + x - 2) {/eq}. Write your answer in both interval notation and set notation. Step 1: Set the argument of the logarithm greater than zero.

Finding the Domain and Range from the Graph of a Quadratic Function. Step 1: Find the domain by examining the graph from left to right. The domain includes all {eq}x {/eq}-values that are ...

2023年11月21日 · At last, find all values of the domain of the inner function that will yield outputs included in the domain of the outer function. The domain of f(x) is all real numbers. The domain of g(x) is all ...

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 ...