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In this lesson, we will learn how to determine whether a function is continuous or not over an interval.

Q1:

Discuss the continuity of the function π given π ( π₯ ) = π₯ β 4 π₯ + 2 2 .

Q2:

Determine where π is continuous if

Q3:

Find the set on which is continuous.

Q4:

Discuss the continuity of the function π on β , given

Q5:

Find the set on which π ( π₯ ) = β 4 π₯ + 1 0 π₯ + 9 β 3 2 is continuous.

Q6:

Discuss the continuity of the function π , given

Q7:

Find the value of π that makes the function π continuous given

Q8:

Find the set on which π ( π₯ ) = β 3 9 π₯ + π₯ π₯ β 1 s i n c o s c o s is continuous.

Q9:

Q10:

Find the set on which π ( π₯ ) = β 4 β | π₯ | is continuous.

Q11:

Discuss the continuity of the function π ( π₯ ) = 4 .

Q12:

Discuss the continuity if the function π given

Q13:

Find the set on which π ( π₯ ) = 7 π₯ | π₯ | β 8 is continuous.

Q14:

Q15:

If what can be said of the continuity of π on the interval ο» β π 4 , π 4 ο ?

Q16:

What can be said about the continuity of the function π ( π₯ ) = 9 π₯ + 4 π₯ 2 2 c o s ?

Q17:

Q18:

Discuss the continuity of the function π ( π₯ ) = 2 π₯ | π₯ β 9 | + 5 on β .

Q19:

Find the set on which π ( π₯ ) = | π₯ β 1 4 | ( π₯ β 4 ) 2 is continuous.

Q20:

Suppose Find the set on which is continuous.

Q21:

What can be said about the continuity of the function π ( π₯ ) = π₯ + 5 π₯ β 2 π₯ + 2 3 2 ?

Q22:

Which of the following holds for π ( π₯ ) = | π₯ + 1 4 | + | 8 + π₯ | ?

Q23:

Find the set on which π ( π₯ ) = ( 5 π₯ β 5 ) 5 π₯ c o s is continuous.

Q24:

Q25:

Find the set on which π ( π₯ ) = β 3 ( π₯ ) + 8 t a n 2 is continuous.

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