Worksheet by kuta software llc kuta software infinite precalculus graphs of rational functions name date period 1 for each function identify the points of discontinuity holes intercepts horizontal asymptote domain limit behavior at all vertical asymptotes and end behavior asymptote. Power polynomial and rational functions.
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Vertical asymptotes look for domain restrictions.
Precalculus graphing rational functions worksheet. If there are values of x which result in a zero denominator these values would create either a hole in the graph or a vertical asymptote. This can sometimes save time in graphing rational functions. Then sketch the graph.
Worksheet 2 6a rational functions math 1410 solutions for each of the rational functions given below do the following. The remainder theorem. Sketch some of them.
Create your own worksheets like this one with infinite algebra 2. Identify slant oblique asymptotes. To gain access to our editable content join the pre calculus teacher community.
Algebra ii review section 7 worksheet 1 date. Find the domain removable holes vertical asymptote s u l t f4 2 68 t u l 6 67 t f3 t 64 u l t 65 t e1 find the x and y intercept s y intercept x 0 x intercept y 0 u l t f4 2 68 t. 6 3 graphing rational functions rational equations.
Graphing rational functions to identify types of discontinuity. Average rates of change. Worksheet by kuta software llc precalculus extra practice of rational functions name x k2q0b1x7 ckeuotbas wstorfvtdwgagrbei zlulacy d a yaglalo reiigwh tyso frdevsgeprwvkesdc 1 for each function identify the holes intercepts horizontal and vertical asymptote and domain.
Extrema intervals of increase and decrease. Rational functions math 1330 precalculus 229 recall from section 1 2 that an even function is symmetric with respect to the y axis and an odd function is symmetric with respect to the origin. Math 150 precalculus worksheets.
Solve applied problems with rational functions. Rational functions and their graphs group activity algebraic expressions worksheet and activity mazing. 2 5 assignment rational functions.
Use transformations to graph rational functions. 3 find the x and y intercepts of the graph of the rational function if they exist. 1 find the domain of the rational function.
Graphing rational functions date period identify the points of discontinuity holes vertical asymptotes x intercepts and horizontal asymptote of. 1 f x. Holes removable discontinuities factor numerator denominator simplify if anything cancels then there is.
Graphs real zeros and end behavior. 2 reduce the rational function to lowest terms if possible. Rational functions worksheets pdfs.
If a function is even or odd then half of the function can be.
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