Mar 31, 2020 · Explanation To make the function h(x) continuous over its domain, we need to find the values of a and b for the function defined as: h(x) = ⎩⎨⎧x3 a x b 4− 21x if x <0 if x = 0 if 0 …

Dec 14, 2021 · To ensure that the function h (x) is continuous over its domain, we need to identify the points a and b where the function might be discontinuous. Continuity at a point means that …

Apr 6, 2020 · The domain of the square root function graphed is [0,∞), meaning it includes all values of x that are greater than or equal to 0. This is due to the fact that the square root …

Oct 20, 2022 · The domain of a function is the set of all possible input values (x) where the function is defined. To find the domain, you identify any restrictions due to division by zero or …

Jan 15, 2019 · The inverse function is f −1(x) = 7x, which has a domain of all real numbers and a range of y> 0. The domain of the original function corresponds to the range of the inverse, and …

Feb 22, 2019 · The definitions of domain and range in functions are well-established in mathematics, and the behavior of the absolute value function is widely documented in algebra …

Feb 13, 2020 · The function is y = 3 x − 1 The domain of the function is the set of independent values for which the function is real and well defined. The domain of the cube root of the …

Dec 10, 2021 · Explanation To determine the domain and range of the function f (x) = −∣x∣ + 2, we will analyze its properties step-by-step. Domain: The domain of a function is the set of all …

Sep 30, 2023 · To restrict the domain in Desmos Graphing Calculator, input your function and then add curly brackets where you specify your domain restriction. For example, 'y = x^2 {x<2}' …

May 3, 2018 · To find the domain of the function y = x, we must determine the values of x for which this function is defined. The square root function is only defined for non-negative …