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 $x>1$.

edited Nov 19 at 0:43

David G. Stork

9,30321232

asked Nov 19 at 0:37

Mit34

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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 $x>1$.

edited Nov 19 at 0:43

David G. Stork

9,30321232

asked Nov 19 at 0:37

Mit34

add a comment |

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 $x>1$.

edited Nov 19 at 0:43

David G. Stork

9,30321232

asked Nov 19 at 0:37

Mit34

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

edited Nov 19 at 0:43

David G. Stork

9,30321232

asked Nov 19 at 0:37

Mit34

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

asked Nov 19 at 0:37

Mit34

asked Nov 19 at 0:37

Mit34

asked Nov 19 at 0:37

Mit34

add a comment |

1 Answer
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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 |

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1 Answer
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active

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votes

1 Answer
1

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

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

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

@AndreasBlass, You are right
– gb2017
Nov 19 at 0:44

add a comment |

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