Match the functions with their derivatives and values of the functions and derivatives.
What does this information tell you about the graphs of the 5 functions
For cards to cut out and sort to do this activity click here.
Click here to download the DERIVATIVE MATCHING worksheet.
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Graph $y={ x }^{ 2 }-2x-1$ .
1. What type of an equation is this?
2. Remember the general form of an equation of this nature: $y={a x }^{ 2 }-bx-c$
When $a > 0$ the graph is $\cup$ shaped and when $a < 0$ it is $\cap$ shaped. What is the situation in our problem?
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A sequence is defined by the formula an = n2 – 2n + 1.
(a) Calculate the first 8 terms of the sequence.
(b) Calculate the first difference between the terms.
(c) Calculate the second difference between the terms.
(d) What can you say about the results you obtained?
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