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- Without sketching, give the sign (+ or -) of each function on each interval of its domain between its zeros and vertical asymptotes.\dfrac{(x + 3)(x - 1)^2}{x(x - 4)}\dfrac{2 - x}{(x + 1)^2}\dfrac{3x^2 + 6x}{4 - x^2}
- Let $f
- Let $g
- A rational function has the form $f
- Each of the graphs A, B and C below is the graph of one of these rules.
- −2 2 4 6 x y −4 −2 2 4 6 x = 1 y = −1 The graph of $f
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Graphing rational functions: the lesson ›More Chapter 1 worksheets: Functions in depth: rate of change, end behavior and asymptotes
- 1.1Degree, end behavior and the shape of a polynomial graph
- 1.2Graphing polynomial functions
- 1.3Graphing rational functions
- 1.4The difference quotient
- 1.5Rates at an instant from shrinking intervals
- 1.6Concavity: when the rate of change itself changes
- 1.7Slant asymptotes
- 1.8Polynomial and rational inequalities with sign charts