Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Functions

Easy

Question

The number of linear functions which map from $text end text left square bracket negative 1 comma 1 right square bracket text onto end text left square bracket 0 comma 2 right square bracket text is end text$

$0$
$1$
$2$
$infinite$

The correct answer is: $2$

$text Let end text f left parenthesis x right parenthesis equals a x plus b text be the required linear function. end text text If end text a greater than 0 text then end text f text is increasing, end text f left parenthesis negative 1 right parenthesis equals 0 comma f left parenthesis 1 right parenthesis equals 2 not stretchy rightwards double arrow negative a plus b equals 0 comma a plus b equals 2 not stretchy rightwards double arrow a equals 1 comma b equals 1 text If end text a less than 0 text then end text f text decreasing, end text f left parenthesis negative 1 right parenthesis equals 2 comma f left parenthesis 1 right parenthesis equals 0 not stretchy rightwards double arrow negative a plus b equals 2 comma a plus b equals 0 not stretchy rightwards double arrow a equals negative 1 comma b equals 1 therefore text The required linear functions are end text f left parenthesis x right parenthesis equals x plus 1 comma f left parenthesis x right parenthesis equals negative x plus 1$

Related Questions to study

Let A and B are two sets such that $A intersection B equals left curly bracket 1 comma 2 right curly bracket comma A union B equals left curly bracket 1 comma 2 comma 3 comma 4 comma 5 right curly bracket text . If end text n subscript 1 comma n subscript 2 text are end text$ maximum and minimum number of functions from A to B respectively, then n₁ - n₂ =

Let A and B are two sets such that $A intersection B equals left curly bracket 1 comma 2 right curly bracket comma A union B equals left curly bracket 1 comma 2 comma 3 comma 4 comma 5 right curly bracket text . If end text n subscript 1 comma n subscript 2 text are end text$ maximum and minimum number of functions from A to B respectively, then n₁ - n₂ =

MathematicsFunctions

If a set A contains 10 elements and a set B contains 20 elements then the number of functions from A into B is

If a set A contains 10 elements and a set B contains 20 elements then the number of functions from A into B is

MathematicsFunctions

Consider the function $f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 2 x plus 3 comma x less or equal than 1 end cell row cell negative x squared plus 6 comma x greater than 1 end cell end table close$ . then draw the graph of the function $y equals vertical line f left parenthesis x right parenthesis vertical line$

Consider the function $f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 2 x plus 3 comma x less or equal than 1 end cell row cell negative x squared plus 6 comma x greater than 1 end cell end table close$ . then draw the graph of the function $y equals vertical line f left parenthesis x right parenthesis vertical line$

MathematicsFunctions

parallel

Tell the time the clock shows.

Tell the time the clock shows.

MathematicsGrade-1

Find the time the clock shows.

Find the time the clock shows.

MathematicsGrade-1

Choose the clock which shows the time 9 o’clock.

Choose the clock which shows the time 9 o’clock.

MathematicsGrade-1

parallel

Which clock shows the time as 11 o’clock?

Which clock shows the time as 11 o’clock?

MathematicsGrade-1

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

Danny starts playing a cricket match one hour after 5 o’clock. What time did he start playing the match?

MathematicsGrade-1

Simon likes to read 1 hour after 4o’clock. which clock shows the time Simon might read?

Simon likes to read 1 hour after 4o’clock. which clock shows the time Simon might read?

MathematicsGrade-1

parallel

The one hour before of 8 o’clock is _____.

The one hour before of 8 o’clock is _____.

MathematicsGrade-1

Two hours after 10 o’clock is _____.

Two hours after 10 o’clock is _____.

MathematicsGrade-1

John starts playing drums at 10 o’clock. He plays continuously one hour. At what time he finished playing drums.

John starts playing drums at 10 o’clock. He plays continuously one hour. At what time he finished playing drums.

MathematicsGrade-1

parallel

Lisa rides her bike 1 hour after 6 o’clock. Choose the clock that shows the time Lisa might ride her bike.

Lisa rides her bike 1 hour after 6 o’clock. Choose the clock that shows the time Lisa might ride her bike.

MathematicsGrade-1

1 hour before 1 o’clock is ____.

1 hour before 1 o’clock is ____.

MathematicsGrade-1

1 hour before 12 o’clock is ____

1 hour before 12 o’clock is ____

MathematicsGrade-1

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.