SOLUTION: Using your calculator graph the function f(x) = x 2 + 2x – 3 over the interval [-5,5]. Approximate any local maxima and local minima. Round your answers to two decimal places.

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Question 154132: Using your calculator graph the function f(x) = x 2 + 2x – 3 over the interval
[-5,5]. Approximate any local maxima and local minima. Round your answers to two decimal places.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Using your calculator graph the function f(x) = x 2 + 2x – 3 over the interval
[-5,5]. Approximate any local maxima and local minima. Round your answers to two decimal places
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -3. Here's your graph:

-------------
For the minimum: set the 1st derivative = to zero.
2x+2 = 0
x = -1
f(-1) = 1 - 2 - 3 = -4
So the minimum is as (-1,-4)
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