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wodb #2 Calculus

Susan Robinson Calculus High School Diploma Inglés 8 fichas

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1—other functions are likely rational functions
only continuous function
limit as x approaches -2 is equal to the function value
no asymptotes, points of discontinuities or jumps
2—has a limit where there is no funciton value
limit as x approaches -2 is -4
there is no function value at x=-2
3—no x-interceps, different y-intercept
only graph with curves
only one with an asymptote
limit as x approaches -2 does not exist
4—the only piecewise function
as x approaches -2, the limit is -4 but the function value at x=-2 is -3
5What are the conditions of point continuity?At x=a, f(x) is continuous if:
1. limit as x approaches a exists
2. the function value at x=a exists
3. the limit and the function value are the same
6Different kinds of discontinuityremoveable discontinuity: there is a hole that can be filled up
infinite discontinuity: there is a vertical asymptote
jump discontinuity: the function jumps from one value to another at a point
7Continuous Functionspolynomial functions
exponential functions
sinusoidal functions-sine and cosine
absolute value functions
log functions & radical functions are continous on their domain
8Functions with continuity issuespiecewise function: you need to check what's happening at the points where the pieces change
rational functions: you need to check for vertical aymptotes and holes