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Hace 2 días · t. e. In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. [1] The set X is called the domain of the function [2] and the set Y is called the codomain of the function. [3] Functions were originally the idealization of how a varying quantity depends on another quantity.
22 de may. de 2024 · Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of -3? f (x) = 2x3 - 3. f (x) = -3x2 - 3x + 2. f (x) = -3x3 + 2. f (x) = 2x2 + 3x - 3. D. liana started to evaluate the function f (x) = 2x2 - 3x + 7 for the input value 2. f (x) = 2 (2)2 - 3 (2) + 7. = 2 (4) - 3 (2) + 7.
Hace 5 días · Combine the derivatives of all the terms to get the derivative of the entire function: \[ f'(x) = 12x^3 - 9x^2 + 0 \] \[ f'(x) = 12x^3 - 9x^2 \] Answer Thus, the derivative of the function \( f(x) = 3x^4 - 3x^3 - 2 \) is \( f'(x) = 12x^3 - 9x^2 \).
14 de may. de 2024 · f(x) = 3x 2 + 4x + 5; g(x) = x 2 – x + 25; f(x) and g(x) are polynomial functions and thus, f(x), g(x) are continuous in the closed interval a <= x <= b, x ϵ [1, 2] f(x), g(x) are differentiable in the open interval a < x < b, i.e. x ϵ (1, 2) And g'(x) = 2x – 1, is not equal to zero(0) in the interval x ϵ [1, 2]
12 de may. de 2024 · Study Resources. Calculus. Question. Find all horizontal asymptotes of the following function. f (x)= (3x-27)/5x^2-52x+63. 🤔 Not the exact question I’m looking for? Go search my question. Expert Verified Solution. Answer by Ava · May 12, 2024. y=0. 1 Identify the degrees of the polynomials in the numerator and the denominator.
10 de may. de 2024 · Solution and Explanation. f: R → R is defined as f (x) = 3x. Let x, y ∈ R such that f (x) = f (y). ⇒ 3x = 3y. ⇒ x = y. ∴f is one-one. Also, for any real number (y) in co-domain R, there exists \frac {y} {3} 3y in R such that f (\frac {y} {3})=3 (\frac {y} {3})=y f (3y) = 3(3y) = y. ∴f is onto.
15 de may. de 2024 · To find the derivative of the function f(x) = 3x^2 + 4x - 1 with respect to x, we'll apply the power rule of differentiation. The power rule states that if you have a term of the form ax^n, where 'a' is a constant and 'n' is a real number, the derivative is n * ax^(n-1).
