![]() Therefore, the range of \(y=2x^2+4x-5\) is (-7, ∞). Question 366060: Find the domain, range, vertex and axis of symmetry of f(x)(x+3)2-4 Answer by Fombitz(32387) (Show Source): You can put this solution on YOUR website The equation is already in vertex form. The whole point of doing this problem is so that you understand what the vertex and axis of symmetry is. Determine if the parabola opens up or down: up, because \(a=2\) and 2 is positive We need to find the vertex and the axis of symmetry of this graph.Find the y-coordinate of the vertex: \(y=2x^2+4x-5=2(-1)^2+4(-1)-5=-7\) In this video we find the vertex, axis of symmetry, domain and range, and x and y intercepts for a quadratic function algebraically.On the other hand, functions with restrictions such as fractions or square roots may have limited domains and ranges (e.g., \(f(x)=\frac=-1\) ![]() Some functions, such as linear functions (e.g., \(f(x)=2x+1\)), have domains and ranges of all real numbers because any number can be input and a unique output can always be produced. The structure of a function determines its domain and range. The range of a function is the set of all possible outputs. Aside from the cube, the other four Platonic solids have 4, 8, 12, and 20 faces, allowing for those number ranges to be generated. ![]() ![]() The domain of a function is the set of all possible inputs. Hi, and welcome to this video about the domain and range of quadratic functions! In this video, we will explore how the structure of quadratic functions defines their domains and ranges and how to determine the domain and range of a quadratic function.īefore we begin, let’s quickly revisit the terms domain and range. ![]()
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