Domain x in RR Range y in (oo,3 This is a polynomial, so the domain (all possible x values for which y is defined) is all real numbers, or RR To find the range, we need to find the vertex To find the vertex, we need to find the axis of symmetry The axis of symmetry is x = b/(2a) = 4/(2*(1)) = 2 Now, to find the vertex, we plug in 2 for x and find y y = (2)^24(2)1 y = 48Given 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 parabolaY = x 2 4x 5 complete the square y 4 = (x 2 4x 5) 4 y = (x 2 4x 4) 5 4 y = (x 2) 2 1 In this form we see that the graph can be obtained by translating the graph y = x 2 right 2 units because of the x 2, and up 1 units because of the 1 y = x 2 4x 5 Reflections (x, y) is the reflection of (x, y) about yaxis
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Y=x^2-4x-5 domain and range-The cost for x games bowled is given by the function f(x)=23x What is a reasonable domain and range?There are no holes Q How many vertical asymptotes does the function y = (x3) (x2) / (x2) (x1) have?
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Use your understanding of transformations of functions to determine the domain and range of each of the following functions (Hint You may want to write the effect to Polly first) 1 P(x) 5 2 y x 24x 5 38 y x 6x 8 Solve each system of equations Remember to show your work algebraically to receive full credit!Graph the quadratic function f(x)=x^22x3Find its Vertex Form ( completing the square)Find the x and y interceptsFind the axis of symmetryFind its domain aQuadratic Maximum Profit Problem Solution The profit from selling local ballet tickets depends on the ticket price Using past receipts, the profit can be modeled by the function \(p=15{{x}^{2}}600x60\), where \(x\) is the price of each ticket
Answer by lwsshak3 () ( Show Source ) You can put this solution on YOUR website!Question 3 Given a Find the vertex b Determine whether there is a minimum or maximum value and find that value c Find the range d Find the intervals on which the function is decreasing and the intervals on which the function is increasing domain,range graph y = (x5)2 8 41 Some parabolas will cross the xaxis The xcoordinate is called the zero or root of the quadratic What are the approximate zeros of
Sofsourcecom delivers good tips on factored form calculator, course syllabus for intermediate algebra and lines and other algebra topics In case that you seek advice on algebra 1 or algebraic expressions, Sofsourcecom happens to be the ideal site to stop by!Justifications vary b (0, –3), (4, 1), (– 4, 1), (0, 5) c 32 square units 591 a xDomain Range Graph the quadratic function from vertex form y = 2(x 1)2 Max or Min?
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Get answer If f 2,oo) to R be the function defined by f(x)=x^(2)4x5, then the range of f is19 Algebra 2 Quadratic Functions Review 1 Solve the function graphically y = x2 – 4x – 5 Solutions 2 Solve the function graphically y = 2 (x 1) (x – 3) SolutionsFinding the Domain and Range of a Quadratic Function Any number can be the input value of a quadratic function Therefore the domain of any quadratic function is all real numbers Because parabolas have a maximum or a minimum at the vertex, the range is restricted Since the vertex of a parabola will be either a maximum or a minimum, the range
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Find domain & range and intercepts of yesterday's 3 functions ANSWERS Handout Identifying Equations Part A only (find the equation of the given graph) ANSWERS HW For the following functions, determine a) the point or feature listed ii) intercepts iii) domain & range and SKETCH 1 f(x) = 2x^212x10 2 f(x) = 1/(x2) 439 2y = x 2x y = x2Any absolute value > 6 is not meaningful in this case because the xaxis represents the ground level, and no y values can be negative (underground) Range y values from 0 (ground) up to 36 (an upward measure, in some kind of units) What are the x and yintercepts of the rainbow?
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1 Given y = x 2 4x —5 a) Complete the table and add points to the graph b) Label the xintercepts c) Label the yrintercept d) The lowest point is called the 'vertex' Label the vertex e) Draw in the line of symmetry What point will this line always pass through?In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or absolute extrema) Pierre de Fermat was one of the first mathematicians toSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
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Get an answer for 'f(x)= x^2 4x 5 , x > 2 a) Express f(x) in the form (xb)^2 c b) State the range of f c) Find an expression for f^1(x) and state its domain ^2 means squared and x >Chapter 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, etcY=x24x 585 y=0, x=0 586 211 feet y Le son523 5 There is no solution, so the lines are parallel 590 See graph at right a A square;
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