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 …

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 …

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 …

Mar 24, 2025 · The domain of the function (3 is all real numbers, which means you can use any real number for without restrictions. This is because linear functions do not contain any …

Aug 5, 2025 · To find the domain of the function defined by the set of points, we first need to understand what is meant by the domain. The domain of a function includes all the possible …

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 …

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 …

The domain and the range of the functions is real numbers. Hence, option A is correct. We need to determine the domain and range of the function f (x) = −35x3. Let us define the domain and …

Feb 17, 2025 · The domain of the function f (x) = x + 2 is determined by the requirement that the expression inside the square root must be non-negative. This leads to the inequality x + 2 ≥ 0, …

Sep 7, 2020 · The domain and range of a function are determined by the set of possible input and output values. To check if it's a function, use the vertical line test to see if each input has a …