7/31/2019 Jom Tanya Sifu :15 Days Programme Part 1

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JOM TANYA SIFU 15 Days Programme: Part 1

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DAY 01 : FUNCTIONS

QUESTION 1

The following ordered pairs represent the relation

more than from Set A = {5, 7, 13} to set B ={3, 4, 8}

Determine

(a) the images of 7

(b) the objects of 4

QUESTION 2

Diagram 1 shows the function . State

(a) the domain(b) the range of the function

QUESTION 3

Diagram 2 shows part of the mapping . Find the value of.

QUESTION 4

Diagram 3 shows the function

,

where is a constant. Find the value of

QUESTION 5

Diagram 4 shows part of the mapping

. Find the values of.

QUESTION 6

Diagram 5 shows an arrow diagram that represents

the function

. Find the value of

(a) (b)

Date of completion: Checked by:

{(5,3), (5,4), (7,3), (7,4), (13,3), (13,4), (13,8)

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DAY 02: FUNCTIONS

QUESTION 1

Given the functions and ,

find

(a) (b)

QUESTION 2

Given the functions and

. If , findthe value of and .

QUESTION 3Given that and , findthe value of and .

QUESTION 4Given that and ,find the values of and .

QUESTION 5

Given the functions where is a constant and . Find

(a) the value of if

(b) Hence, find

QUESTION 6

Given the functions

and

, cari nilai .

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DAY 03: FUNCTIONS

QUESTION 1

Given the functions and

. Find(a) (b)

QUESTION 2

Given the functions and

.

Find.

QUESTION 3The function is defined by

Find

(a) the value of (b)

QUESTION 4Given the functions and

Find

QUESTION 5

Given and

, find

(a)

(b) the value of such that

QUESTION 6

Given the function and ,

find the value of.

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DAY 04: FUNCTIONS

QUESTION 1

It is given that and ,

find

(a) (b) the value of when

QUESTION 2

It is given that and ,

find(a) (b)

QUESTION 3

Given that and . Find(a) (b) the value of when

QUESTION 4

Given that and .

Find

(a) (b) the value of when

QUESTION 5

Given that and

. Find

(a) (b) the value

QUESTION 6

Given that and . Find

(a) (b) the value

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DAY 05: FUNCTIONS

QUESTION 1

Functions and are such that and

. Given that , find(a) the value of (b)

QUESTION 2

Given that

and

, where and are

constants. Find the values of and of.

QUESTION 3Given that

and

where and are constants.

Find the values of and .

QUESTION 4It is given that

. Find

(a) the value of

(b) the values of which maps onto itself

QUESTION 5

Given that

(a) State the range of for the domain

(b) find the value of which maps onto itself

QUESTION 6

Given the functions and

, find

(a) (b) the value of if

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DAY 06: FUNCTIONS

QUESTION 1

Given the function , find the values of

such that

QUESTION 2

Given the functions and

. If , express interms of .

QUESTION 3

An arrow diagram is shown representing part of

the mapping of by the function .Find the value of.

QUESTION 4

A diagram shows the graph of the function

for the domain . State

(a) the value of(b) the range of corresponding to the

given domain

QUESTION 5

Given the functions and

. If , express in termsof .

QUESTION 6

Given a function and , find

(a) the value of

(b) the object that mapped to itself

Date of completion: Checked by:

7

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DAY 07 : QUADRATIC EQUATIONS

QUESTION 1

The quadratic equation ,where is a constant, has no real root. Find the range of

values of.

QUESTION 2

The quadratic equation ,where is a constant, has two equal roots. Find the

possible values of.

QUESTION 3

The quadratic equation has two

distinct roots. Find the range of values of.

QUESTION 4

Given the quadratic equation

has equal roots. Express in terms of

QUESTION 5

Given that quadratic equation has no roots. Find therange values of.

QUESTION 6

The straight line intersects the curve

at two different points. Find therange of values of.

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DAY 08 : QUADRATIC EQUATIONS

QUESTION 1

Given the quadratic equation

, find

(a) the sum of roots (b) the product of roots

QUESTION 2

Given and are the roots of the equation . Given that , find thevalues of and ,

QUESTION 3

Given that and are the roots of the quadraticequation . Find the value of

QUESTION 4

If is a root of the quadratic equation , find(a) the value of

(b) the other root of the quadratic equation

QUESTION 5

Given that is one of the root of the quadratic

equation , calculate the valuesof

QUESTION 6

Given that and are the roots of the

quadratic equation . Find thevalues of and

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DAY 09 : QUADRATIC EQUATIONS

QUESTION 1

Solve the quadratic equation .

Give the answer correct to 3 significant figures.

QUESTION 2

Solve the quadratic equation

. Give the answer

correct to 3 decimal places.

QUESTION 3

Given and are the roots of the quadratic

equation

. Form the quadraticequation which has the roots and

QUESTION 4

One of the roots of the quadratic equations

is twice the other root. Find thevalue of.

QUESTION 5

The roots of the quadratic equation

are and . Given ,find the possible values of

QUESTION 6

Given and are roots of a quadratic equation

whereas and are roots of a

quadratic equation . Find the valueof and

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DAY 10 : QUADRATIC FUNCTIONS

QUESTION 1

The quadratic function can be

expressed in the form of ,where and are constants. Find the value of

and

QUESTION 2

The quadratic function can be

expressed in the form of ,where is a constant. Find the value of

QUESTION 3

The quadratic function can

be expressed in the form of

,where and are constants. Find the value of

and ,

QUESTION 4

Given the quadratic function .

By using the method of completing the square, findthe minimum/maximum point of.

QUESTION 5

The quadratic function can

be expressed in the form of ,

where and are constants. Find the value of and ,

QUESTION 6

Given the quadratic function .

By using the method of completing the square, find

the minimum/maximum point of.

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DAY 11 : QUADRATIC FUNCTIONS

QUESTION 1

The quadratic function where is a constant, has a minimum value of. Find

the values of.

QUESTION 2

The quadratic function where and are constants, has a minimum point

. Find the value of and .

QUESTION 3

The quadratic function

has a minimum value of. The equation of theaxis of symmetry of the graph is . Find the

value of and

QUESTION 4

The quadratic function , where

is a constant, has minimum value of

. Find thevalue of

QUESTION 5

It is given that the quadratic function

has a minimum point . Calculate the value of and

QUESTION 6

Given the quadratic function

has a minimum point at

. Express in terms of

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DAY 12 : QUADRATIC FUNCTIONS

QUESTION 1

Diagram 1 shows some information about the

graph of the quadratic function ,where and are constants.

(a) State the value of and

(b) Calculate the value of

QUESTION 2

Diagram 2 shows the graph of the quadratic

function , where is a

constant.

The curve

has a

maximum point where is a

constant. State

(a) the value of

(b) the value of

(c) the equation of the axis of symmetry

QUESTION 3

Diagram 3 shows the graph of ,

where and are

constants. Point

is the

maximum point of

the graph. Determine

the values of and

QUESTION 4

Diagram 4 shows the graph of quadratic function

, where and are constants.Find the value of

and

QUESTION 5

Diagram 5 shows the graph of a quadratic function

, where is a constant. Thecurve has a maximum point where

is a constant. State(a) the value of

(b) the value of

(c) the equation

of the axis of

symmetry

QUESTION 6

Diagram 6 shows the graph of a quadratic function

, where is a constant. Thecurve has a maximum point where

is a constant. State(a) the value of

(b) the value of

(c) the equation

of the axis of

symmetry

Date of completion: Checked by:

y-intercept = 5

Coordinates of maximum point=(1 , 7)

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DAY 13 : QUADRATIC FUNCTIONS

QUESTION 1

Find the range of values of for which

QUESTION 2

Find the range of values of for which

QUESTION 3

Find the range of values of for which

QUESTION 4

Given that . Find the range ofvalues of for which is positive.

QUESTION 5

Find the range of values of if and

QUESTION 6

Find the range of values of such that

is always positive.

QUESTION 7

Find the range of values of such that

is always positive.

QUESTION 8

The function is always positive.Find the range of values of

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DAY 14 : QUADRATIC FUNCTIONS

QUESTION 1

The quadratic function is given as

.

(a) Express the function in the form of

, where where and

are constants.

(b) State the maximum point(c) Hence, sketch the graph of for the domain

QUESTION 2

The quadratic function is given as

.

(a) Express the function in the form of

, where where and

are constants.

(b) Find the maximum or minimum value of(c) Hence, sketch the graph of for the domain

QUESTION 3

(a) Express in the form

of , where where and

are constants.

(b) The graph has aminimum point at. Find the value of and

.

(c) Hence, sketch the graph for the domain

and state the corresponding range for

QUESTION 4

Given that

(a) Express the function in the form of

, where where and

are constants.(b) Determine the turning point of

(c) Sketch the graph of

(d) Find the range of values of such that

has two distinct real roots

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DAY 15 : SIMULTANEOUS EQUATIONS

QUESTION 1

Solve the simultaneous equations

and

QUESTION 2

Solve the simultaneous equations

QUESTION 3Solve the simultaneous equations

and

QUESTION 4Solve the simultaneous equations

and

QUESTION 5

Solve the simultaneous equations

Give the answers correct to four significant figures.

QUESTION 6

Solve the simultaneous equations

and

Give the answers correct to three decimal places.

Date of completion: Checked by: