Y=x^2-4x 1 domain and range 420827-Y=x^2-4x+1 domain and range

 Domain #x^24x21# is a polynomial I don't need to worry about dividing by zero or taking even roots or negative numbers or other weirdness The domain is all real numbers (The interval #(oo, oo)# Range This may depend on ow much you know I would graph (or at least think about the graph) of the parabola whose equation id #y=x^24x21#What is the domain?Get an answer for 'Find the domain and range of the following y = x^2 , y = sqrt(1 – x^2), y = 1/x, y = sqrt(x) , y = sqrt(4x) ' and find homework help for other Math questions at eNotes

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Y=x^2-4x+1 domain and range

Y=x^2-4x+1 domain and range-Math\begin{align}f(x)&=x^2–4x7\\&=(x2)^23\end{align}\tag*{}/math Range of this function is mathy\ge 3/math for domain mathx\in\R/math Suppose thatName_____ ID 1 Date_____ Period____ ©x z2o0Y1t6s _KJuUtXaD KSgoefutZwOayreet SLuLKCVi N JAhl`lm SrqizgLhJtsG gr^esAeDrjvRe^dk1State whether each function is linear, quadratic, or exponential Identify the domain and range 1) y = 2x2 4x 1 x y 1 2 2) 3x 5y = 0 x y

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I have a function here y = x^2 4x 32 I have some questions about it 1Domain/Range ­ Domain x­values (inputs) ­ Range y­values (outputs) ­ The domain of quadratics will always be "all real numbers" (doesn't matter if max or min) ­ Two ways to write the domain and range Algebra 1 Domain all real numbers Range y > # (if minimum) y < # (if maximum)Alternative method Write f ( x) as x − 1 ( x − 1) 2 2 Thus, your function is a horizontal shift of g ( t) = t t 2 2, and hence these functions have the same range Next, g is odd, so it is sufficient to study positive t (for which g is positive) Now, by the arithmeticgeometric mean t 2 2 ≥ 2 t 2 2 = 2 2 t with equality when t 2 = 2

Find the domain, range, and axis of symmetry a) y = x 2 2x 3 b) y = x 2 4x 1 47 Quadratic Formula If ax 2 bx c = 0 and a=0 then 2a Ex 1 Use the quadratic formula to solve the equationsAll equations of the form a x 2 b x c = 0 can be solved using the quadratic formula 2 a − b ± b 2 − 4 a c The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction x^ {2}4xy6=0 − x 2 4 x − y − 6 = 0 This equation is in standard form ax^ {2}bxc=0 Substitute 1 for a, 4 for b The range is much harder You could complete the square to get the range, which I will do after we get the answer The simplest way to get the smallest part of the range is to graph the quadratic The lowest point is at (2, 25) so the range is Range25 ≤ y < ∞ Completing the square y = x^2 4x 21 y = (x^2 4x) 21

Question What are the vertex, axis of symmetry, maximum or minimum value, domain and range for Y=x^24x3 Answer by TimothyLamb(4379) (Show Source) You can put this solution on YOUR website!x^2 4x 3the above quadratic equation is in standard form, with a=1 to obtain vertex form use completing the square ∙ coefficient of the x2 term must be 1 which it is ∙ add/subtract (1 2 coefficient of xterm)2 to x2 −4x ⇒ y = x2 2( − 2)x4−4 7 ⇒ y = (x −2)2 3 ⇒ vertex = (2,3) and a > 0 ⇒ range is y ∈ R,y ≥ 3 graph {x^24x7 10, 10,Page 13 ____ 3 If an object is dropped from a height of 39 feet, the function h(t)= −16t 2 39 gives the height of the object after t seconds Graph the function A C B D ____ 4 Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y= 4x 2 5x−1

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≤ 2 The summary of domain and range is the following Example 4 Find the domain and range of the quadratic function y = {x^2} 4x 1 Just like our previous examples, a quadratic function will always have a domain of all x values I want to go over this particular example because the minimum or maximum is not quite obviousDivide 4, the coefficient of the x term, by 2 to get 2 Then add the square of 2 to both sides of the equation This step makes the left hand side of the equation a perfect square Square 2 Add y1 to 4 Factor x^ {2}4x4 In general, when x^ {2}bxc is a perfect square, it can always be factored as \left (x\frac {b} {2}\right)^ {2} Homework Statement For the following questions, find the Domain and Range Use either the graph or turning point method Homework Equations 1 y= x6x8 2 y= x^23x5 3 y= x^24x4 And a question on the matter, when you complete the square, as in when I

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Get an answer for 'find the requested values a) f(x)=x^24x1 standard form, vertex, xintercept, yintercept, domain, range,' and find homework help for other Math questions at eNotesSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more Can you identify the domain and range of the functions y=x²2x3 and y=x² 4x 1 1 See answer eyrah eyrah Domain of both are All Real numbers (infinity, infinity) Range of y=x^22x3 is 4, infinity) Range of y = x^24x1 (infinity, 3 New questions in Math I Make a table of values for each equation that defines a linearfunction

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Divide 4 by 1 x^ {2}4x=y Divide y by 1 x^ {2}4x\left (2\right)^ {2}=y\left (2\right)^ {2} Divide 4, the coefficient of the x term, by 2 to get 2 Then add the square of 2 to both sides of the equation This step makes the left hand side of the equation a In this case, we are only looking at a portion of the function, so our domain of values would be {1, 2, 3, and 4} and our range of values would be {7, 11, 15, and 19} Let's try a couple of examples What is the domain and range of the function \(y=x^{2}4x3\)?Given the equation {eq}\displaystyle y=3x^{2}12x7 {/eq}, graph the equation and find the domain, range, and line of symmetry Parabolas The graph of a quadratic function will be a parabola

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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreChapter 5 Functions Learners must be able to determine the equation of a function from a given graph Discuss and explain the characteristics of functions domain, range, intercepts with the axes, maximum and minimum values, symmetry, etcAn increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1) If this function is defined only when x is greater than −1 and y is greater than 1, what are the domain and range of this function?(1 Algebra Hiya!

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