62.5k views
3 votes
True or False?
Picture provide below

True or False? Picture provide below-example-1
User Eleonora
by
8.6k points

2 Answers

2 votes

Answer:

Choice A is correct.The function is continuous at x=2.The given statement is true.

Explanation:

We have given a piece-wise function.

We have to find is it is continuous at x=2?

The function is f(x) = -2x+4 if x<= 2

Put x= 2 in the above function we get,

f(2) = -2(2)+4 = 0

So, the function is continuous at x=2 , when x<=2.

Now, when x > 2 the given function is f(x) = 2x-4 so, this function is also continuous.

Thus, the function is continuous at x=2. then given statement is true.

User Olivier S
by
7.8k points
5 votes

Answer:

Option 1. It's True.

Explanation:

In this question given function is f(x) = -2x + 4 if x ≤ 2

Now if we put x = 2 in the given function then we get the value of this function

f(2) = 0 . So this function is continuous at x = 2.

and for the second condition

f(x) = 2x - 4 if x > 2 the given function is continuous.

Therefore we can say that given function is continuous at x = 2 is a true statement.

User Tafia
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories