Nov 21, 2023 · 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 …

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.

Nov 21, 2023 · - 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 …

Nov 21, 2023 · 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.

Nov 21, 2023 · Find the domain and range of the function using the graph. Finding the domain of a piecewise function. Read the x-values left to right to determine the domain and read the y …

Nov 21, 2023 · 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 …

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 ...

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.

Steps for Finding the Graph, Domain, and Range of a Logarithmic Function. Step 1: Graph the parent function. Step 2: Determine the transformations applied to the parent function from the …

Nov 21, 2023 · 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 …