SOLUTION: how do you find the minimum and maximum values and the range of a quadratic function?
for example, the given is: {{{ f(x) = x^2 + 2x + 4 }}}
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-> SOLUTION: how do you find the minimum and maximum values and the range of a quadratic function?
for example, the given is: {{{ f(x) = x^2 + 2x + 4 }}}
Log On
The sign on the lead coefficient tells you which way the parabola opens. Positive (like your example) opens up, meaning that the value at the vertex is a minimum. Negative, it opens down, so the value at the vertex is a maximum.
The value of that locates the vertex is given by the opposite of the coefficient on the first degree term divided by twice the lead coefficient. For your problem, .
The minimum (or maximum) value is simply the value substituted into the function everywhere you see an . You have to do the arithmetic.
For a parabola that opens upward, the range is the minimum value to positive infinity. For a parabola that opens downward, the range is minus infinity to the maximum value.
John
My calculator said it, I believe it, that settles it
