Asksia AI LOGO


Posted 2 months ago

This is the graph of function gg.

Over which intervals is gg continuous?

Choose all answers that apply:
A [2,0][-2,0]

В [1,5][1,5]
C None of the above
Sign in to unlock the answer
Answer from Sia
Posted 2 months ago
Solution by Steps
step 1
To determine the intervals over which the function gg is continuous, we need to analyze the graph provided
step 2
From the graph, we observe that gg has open circles at the points (2,4)(-2, -4) and (3,3)(3, 3), indicating discontinuities at x=2x = -2 and x=3x = 3
step 3
The closed circles at (0,3)(0, 3) and (3,7)(3, 7) indicate that gg is continuous at x=0x = 0 and x=3x = 3
step 4
Therefore, gg is continuous in the interval [2,0][-2, 0] because there are no discontinuities within this interval
step 5
The interval [1,5][1, 5] is not continuous because there is a discontinuity at x=3x = 3
[2,0][-2, 0]
Key Concept
Continuity of a function
A function is continuous over an interval if there are no breaks, jumps, or holes in the graph within that interval.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages
Strong algorithms that better know you
Early access to new release features
Study Other Question