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Consider the function f(x)= -2x^2+4x-7. Please help?
Determine whether the graph has a minimum or maximum value?
Find the minimum or maximum value and determine where it occurs?
Identify the functions domain and range?
1 Answer
- 8 years ago
First, what you need to find is the vertex of the graph, since this graph is a negative parabola (noted by the -2x^2) the vertex would be it's maximum value, and like all other parabolas, they will never end in the opposite direction of the vertex meaning, it has no minimum value since it is negative, now what's left is the domain and range, domain is the possible x values for the graph, this parabola can use all x values so the domain is -∞ < x < ∞ and the range is -∞ < y ≤ -5 which is your vertex
Source(s): http://www.mathcracker.com/quadratic_equation_solv... I used this to get the vertex
