How do you find the values of a and b that makes the function continuous?
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How do you find the values of $a$ and $b$ that makes the function continuous?
$f(x) = a x^2 - 1$ for $x<1$, $2$ for $x=1$, $2/bx$ for $x>1$.
calculus
edited Nov 19 at 0:43
David G. Stork
9,30321232
asked Nov 19 at 0:37
Mit34
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up vote
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down vote
favorite
How do you find the values of $a$ and $b$ that makes the function continuous?
$f(x) = a x^2 - 1$ for $x<1$, $2$ for $x=1$, $2/bx$ for $x>1$.
calculus
edited Nov 19 at 0:43
David G. Stork
9,30321232
asked Nov 19 at 0:37
Mit34
1
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
How do you find the values of $a$ and $b$ that makes the function continuous?
$f(x) = a x^2 - 1$ for $x<1$, $2$ for $x=1$, $2/bx$ for $x>1$.
calculus
edited Nov 19 at 0:43
David G. Stork
9,30321232
asked Nov 19 at 0:37
Mit34
1
How do you find the values of $a$ and $b$ that makes the function continuous?
$f(x) = a x^2 - 1$ for $x<1$, $2$ for $x=1$, $2/bx$ for $x>1$.
calculus
calculus
edited Nov 19 at 0:43
David G. Stork
9,30321232
asked Nov 19 at 0:37
Mit34
1
edited Nov 19 at 0:43
David G. Stork
9,30321232
asked Nov 19 at 0:37
Mit34
1
edited Nov 19 at 0:43
David G. Stork
9,30321232
edited Nov 19 at 0:43
David G. Stork
9,30321232
edited Nov 19 at 0:43
David G. Stork
9,30321232
9,30321232
asked Nov 19 at 0:37
Mit34
1
asked Nov 19 at 0:37
Mit34
1
asked Nov 19 at 0:37
Mit34
1
1
add a comment |
add a comment |
1 Answer
1
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1
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Hint: Take the limit from the left and from the right and make them equal
answered Nov 19 at 0:41
gb2017
944
Here "make them equal" means make them equal to each other and to the value of the function at the point in question.
– Andreas Blass
Nov 19 at 0:42
@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
Hint: Take the limit from the left and from the right and make them equal
answered Nov 19 at 0:41
gb2017
944
Here "make them equal" means make them equal to each other and to the value of the function at the point in question.
– Andreas Blass
Nov 19 at 0:42
@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44
add a comment |
up vote
1
down vote
Hint: Take the limit from the left and from the right and make them equal
answered Nov 19 at 0:41
gb2017
944
Here "make them equal" means make them equal to each other and to the value of the function at the point in question.
– Andreas Blass
Nov 19 at 0:42
@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44
add a comment |
up vote
1
down vote
up vote
1
down vote
Hint: Take the limit from the left and from the right and make them equal
answered Nov 19 at 0:41
gb2017
944
Hint: Take the limit from the left and from the right and make them equal
answered Nov 19 at 0:41
gb2017
944
answered Nov 19 at 0:41
gb2017
944
answered Nov 19 at 0:41
gb2017
944
answered Nov 19 at 0:41
gb2017
944
944
Here "make them equal" means make them equal to each other and to the value of the function at the point in question.
– Andreas Blass
Nov 19 at 0:42
@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44
add a comment |
Here "make them equal" means make them equal to each other and to the value of the function at the point in question.
– Andreas Blass
Nov 19 at 0:42
@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44
Here "make them equal" means make them equal to each other and to the value of the function at the point in question.
– Andreas Blass
Nov 19 at 0:42
Here "make them equal" means make them equal to each other and to the value of the function at the point in question.
– Andreas Blass
Nov 19 at 0:42
@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44
@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44
add a comment |
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