SOLUTION: Graph the equation : f(x)= x^2-5x+6. Clearly label the x-axis, y-axis and origin. State the domain and range of the above function by predicate notation. Please help me out with

Algebra ->  Graphs -> SOLUTION: Graph the equation : f(x)= x^2-5x+6. Clearly label the x-axis, y-axis and origin. State the domain and range of the above function by predicate notation. Please help me out with       Log On


   



Question 511426: Graph the equation : f(x)= x^2-5x+6. Clearly label the x-axis, y-axis and origin.
State the domain and range of the above function by predicate notation.
Please help me out with this problem.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the equation : f(x)= x^2-5x+6. Clearly label the x-axis, y-axis and origin.
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f(x) = (x-3)(x-2)
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x-intercept: Let y = 0 then x = 2 or x = 3
Plot points at (2,0) and at at (3,0)
The vertex occurs half-way between the x-intercepts
Vertex (5/2 , -1/4)
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y-intercept: Let x = 0, then y = 6
Plot point at (0,6)
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graph%28400%2C400%2C-10%2C10%2C-2%2C10%2Cx%5E2-5x%2B6%29
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State the domain and range of the above function by predicate notation.
Domain: All Real Numbers
Range: y >= -1/4
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cheers,
Stan H.
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