5
QuizMultiple Choice

Finding Limits

Question 5 • Precalculus

Consider the function .Which statement explains the continuity of the function at x = –1?

Question illustration
Answer
A
Because f(x) = 4 and f(–1) = 4, it follows that f(x) = f(–1). Therefore, the function is continuous at x = –1.
B
Because f(x) = –4 and f(–1) = –4, it follows that f(x)= f(–1). Therefore, the function is continuous at x = –1.
C
Because f(x) = 4 and f(–1) = –4, it follows that f(x) ≠ f(–1). Therefore, the function is not continuous at x = –1.
D
Because f(x) = –4 and f(–1) = 4, it follows that f(x) ≠ f(–1). Therefore, the function is not continuous at x = –1.
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