Linear and Quadratic Functions: Graphing Zeros and Min ⁄ Max Values

think icon Think & Click: Maximum and Minimum Problems

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on the question to reveal the solution.

You have a 300 ft roll of fencing and a garden that you want to fence. What is the largest area you could fence in?
 
2x + 2y = 300
2y = 300 – 2x
y = 150 – x
Area = xy = x(150 – x) = -x2 + 150x
x equals negative b over 2 a
negative 150 over 2 times negative 1
y = f(75) = 75
This means that the dimensions are 75 by 75 and the area is 5625 ft2.
 
What is the range of the graphed function below?

 
y ≥ -1
 
Graph of two x squared minus four x plus one.
What is the domain of the graphed function below?

 
All Real Numbers
 
Graph of two x squared minus four x plus one.

Review Icon Review Worksheet

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