Apentix/AP Calculus AB/Unit 1: Limits and Continuity/Question

AP Calculus ABeasymcq1 pt

The graph of $g$ is an unbroken curve on the interval $(-3,5)$ with no holes, jumps, or vertical asymptotes. Which of the following must be true?

A.

g

is continuous on

(-3,5)

B.

g

has a removable discontinuity at

x=0

C.

g

is differentiable on

(-3,5)

D.

g

has a horizontal asymptote

Explanation

Core Concept

An unbroken graph with no holes, jumps, or asymptotes means the function is continuous at every point of the interval.

Correct Answer

A $g$ is continuous on $(-3,5)$

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