1.How is the maximum or minimum point of the original quadratic function related to the maximum or minimum point of its reciprocal function?
2.How can you use the leading coefficient of the original quadratic function to tell you whether its reciprocal will have a maximum or minimum.
3.Explain how you can tell the end behaviour of the reciprocal of a quadratic function from the graph of the original quadratic function?
4.Explain how to use the graph of a reciprocal function to solve an inequality.
5 answers
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1. Think about reciprocals. 1/x is smaller if x is larger. So, a max of f(x) is a min for 1/f(x)
2. If the leading coefficient is positive, f(x) has a minimum (the parabola opens upward), and vice-versa for negative.
3. Since a parabola grows without bound, its reciprocal shrinks without bounds - that is, approaches zero.
4. Think of a parabola, with a line drawn across it. If the parabola is above the line, its reciprocal will be below the line.
visit wolframalpha.com and play around with some functions, and see what the graphs look like. Just type in the function and it will display the graph, as well as other information.
2. If the leading coefficient is positive, f(x) has a minimum (the parabola opens upward), and vice-versa for negative.
3. Since a parabola grows without bound, its reciprocal shrinks without bounds - that is, approaches zero.
4. Think of a parabola, with a line drawn across it. If the parabola is above the line, its reciprocal will be below the line.
visit wolframalpha.com and play around with some functions, and see what the graphs look like. Just type in the function and it will display the graph, as well as other information.
thanks
steve can you please email me i have a question for you
steve can you please email me i have a question for you, brar.09hotmai
1 answer