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. Identify slant oblique asymptotes.
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2 5 assignment rational functions.
Precalculus graphing rational functions worksheet. 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. Graphs real zeros and end behavior. Vertical asymptotes look for domain restrictions.
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. Rational functions worksheets pdfs. Use transformations to graph rational functions.
2 reduce the rational function to lowest terms if possible. Solve applied problems with rational functions. Math 150 precalculus worksheets.
Holes removable discontinuities factor numerator denominator simplify if anything cancels then there is. Create your own worksheets like this one with infinite algebra 2. Algebra ii review section 7 worksheet 1 date.
Then sketch the graph. Graphing rational functions to identify types of discontinuity. 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.
6 3 graphing rational functions rational equations. Graphing rational functions date period identify the points of discontinuity holes vertical asymptotes x intercepts and horizontal asymptote of. Average rates of change.
Rational functions and their graphs group activity algebraic expressions worksheet and activity mazing. 3 find the x and y intercepts of the graph of the rational function if they exist. Worksheet 2 6a rational functions math 1410 solutions for each of the rational functions given below do the following.
To gain access to our editable content join the pre calculus teacher community. 1 find the domain of the rational function. 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.
The remainder theorem. 1 f x. If a function is even or odd then half of the function can be.
This can sometimes save time in graphing rational functions. Sketch some of them. Power polynomial and rational functions.
Extrema intervals of increase and decrease.
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