Question 1006079: what is the maximum value of 3x^2 + 7x - 2 if -3 is less than or equal to x, which is less than or equal to 0 Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website! Question asks the maximum value between . Find where the vertex is in relation to this interval. A possible way is change the expression into standard form and read the x coordinate of the vertex; and note that the vertex is a minimum point for the quadratic function. You are expecting the MAXIMUM value to be at either x=-3 or x=0, because one of them is likely to be greater than the y-value of the vertex.
The vertex, a minimum value for the function, occurs at .
Did you really mean the interval INCLUSIVE, like ? If yes, then there are TWO maximum values on this interval, not just one value. Otherwise the answer can only be a limit.
The limits for the max value on the interval both are at y=0. Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
what is the maximum value of 3x^2 + 7x - 2 if -3 is less than or equal to x, which is less than or equal to 0
Maximum value of: , with is:
This MAXIMUM value occurs when x = - 3