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 <x <4 if x = …

Apr 1, 2019 · Thus, the domain of the function is all real numbers x such that x is greater than or equal to 6. In interval notation, the domain can be expressed as: [6,∞) In set notation, it can be expressed …

May 14, 2020 · The graph of a function can be described by identifying its domain, range, x-intercept, y-intercept, and behavior as x approaches positive infinity. Each of these components provides insight …

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 square roots and …

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 the limit of …

Feb 22, 2019 · The complete statement for the graph of the function f (x) = ∣X ∣ are: The domain of the function is all real number except where the function is undefined.

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 function is defined only …

Apr 14, 2020 · To determine the domain and range of a function and whether to use brackets or parentheses in interval notation, it’s important to understand what inclusion and exclusion mean in …

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 function is the set of …

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 numbers because you …