Back to 12.1 Finding Limits: Numerical and Graphical Approaches

12.1 Exercise 23

Avg difficulty 2.5

Draw the graph of a function from the functional values and limits provided.

lim x→ 0 − f(x)=2\underset{x \rightarrow 0^{-}}{\lim} f \left(x\right) = 2, lim x→ 0 + f(x)=–3\underset{x \rightarrow 0^{+}}{\lim} f \left(x\right) = – 3, lim x→2 f(x)=2\underset{x \rightarrow 2}{\lim} f \left(x\right) = 2, f(0)=4f \left(0\right) = 4, f(2)=–1f \left(2\right) = – 1, f(–3) does not exist. f \left(– 3\right) \textrm{ }\text{does}\textrm{ }\text{not}\textrm{ }\text{exist} .

OpenStax Precalculus 2e, 12.1 Finding Limits: Numerical and Graphical Approaches, exercise 23

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.