SOLUTION: f(x) = 5x2 − 4x − 9 find relative minimum and relative maximum

Algebra ->  Graphs -> SOLUTION: f(x) = 5x2 − 4x − 9 find relative minimum and relative maximum       Log On


   

Question 1084159: f(x) = 5x2 − 4x − 9
find relative minimum and relative maximum
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is only minimum and there is NO maximum for this function.

The minimum is at x = -+%28-4%29%2F%282%2A5%29 = 4%2F10 = 2%2F5 = 0.4.

The value of the minimum is 5%2A%282%2F5%29%5E2+-+4%282%2F5%29+-+9.

Calculate it on your own.


------------
On finding maximum/minimum of quadratic functions see the lessons
    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".