What real value of t produces the smallest value of the quadratic t^2-9t-36?
If t is a real number, what is the maximum possible value of the expression -t^2+8t-4?
+128475 The t that produces the smallest value is given by -(-9) / [2 * 1 ] = 9/2 = 4.5
Subbing this into the function the min is
(4.5)^2 - 9(4.5) - 36 = -56.25
The second one is similar
The t that maximizes this is -8 / [ 2 * -1 ] = 4
Subbing this into the function gives us the max of
-(4)^2 + 8(4) - 4 = 12
