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Choose Nonexamples and Counterexamples for Instruction
Grade Level
Praxis Core
5165.285 Choose Nonexamples and Counterexamples for Instruction
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A teacher wants a nonexample to the claim that piecewise-defined functions are always discontinuous. Which function is best?
A
f(x) = 1 for x < 3 and f(x) = 5 for x >= 3
B
f(x) = x for x < 0 and f(x) = x + 2 for x >= 0
C
f(x) = x
2
for x < 1 and f(x) = 2x - 1 for x >= 1
D
f(x) = x
2
for x < 1 and f(x) = 4 for x >= 1
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