SOLUTION: Use the graph of y=-x^+4x+5 to answer the following: -x^+4x+5=0 explain how you obtain your answers by looking at the graph: Does this function have a maximum or minimum? I

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Question 111749This question is from textbook Blitzer college algebra
: Use the graph of y=-x^+4x+5 to answer the following:
-x^+4x+5=0 explain how you obtain your answers by looking at the graph:
Does this function have a maximum or minimum?
I do not understand how to look at a graph and tell anything -
This question is from textbook Blitzer college algebra

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Use the graph of y = -x^+4x+5 to answer the following:
-x^+4x+5= 0 explain how you obtain your answers by looking at the graph:
Does this function have a maximum or minimum?
:
Graph Y = -x^2 + 4x + 5. substitute values of x and find y from x = -2 to x = +6
It should look like this:

:
It says -x^2 = 4x + 5 = 0, Explain what values of x substituted in the equation, will give you a value of 0 for y. You can look at the graph and see that when x = -1 and when x = +5, it crosses the x axis which is y = 0
:
You can see from the graph that this function has a maximum which occurs when x=+2
y will = 9, and this is the maximum. A good thing to remember, when the coefficient of x^2 is negative you have a maximum and when it is positive you have a minimum
:
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