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10 Cards in this Set
- Front
- Back
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Step One |
Find the Domain of f(x)
(keep in mind the values that are not in the domain, they cannot be critical values) |
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Step 2 |
Is F(x) a polynomial?
(if so you know the general shape is parabola, cubic curve, 4th power w) |
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Step 3 |
Does the graph cross or touch the x-axis
set y equal to zero to find these |
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Step 4 |
set x equal to zero to find the y intercept
(if x=0 is in the domain) |
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step 5 |
find vertical asymptotes
these are where there is dividing by zero, or ln or log of 0 |
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step 6 |
what does y do as x approaches positive and negative infinity
keep an eye out for horizontal and oblique asymptotes |
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step 7 |
what are the signs of y in the previous regions
check for sign changes at vertical asymptotes |
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step 7.5 |
you can probably guess the shape of the graph at this point |
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step 8 |
find critical values
find where f'(x)=0 or is undefined, then determine if its a max or min by the signs of the left and right sides |
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step 9 |
what is the concavity
look at the second derivative and try to identify if it is concave up, concave down, or there is a point of inflection |
