Math form 4 Chapter 3(1)

Write the inverse.

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 $f\left(x\right)\ =\ ax^2+bx\ +\ c.\$  

Form a deductive conclusion for the quadratic function where a = -1,  b= 2,  c=3.

•  $f\left(x\right)\ =\ -x^2+2x+3$  

•  $f\left(x\right)\ =\left(x+1\right)\left(-x+3\right)$  

•  x = -1   or  x = 3

State the truth value of the  statements. " The sum of two positive number is a positive value and even number".

• True

• False

Premis 1 : __________________

Premis 2 : Solid A is a cube.

Conclusion : Solid A has 6 surfaces.

Complete the argument.

• If solid A is a cube then solid A has 6 surfaces.

• Cube has 6 surfaces.

• All solids has 6 surfaces

" 5 is a factor of 24" . 

State whether the above sentence is a statement or not.

• Statement

• Not a statement

 $If\ set\ C\ is\ an\ empty\ set,\ then\ set\ C\ has\ no\ element.$  Write the consequent of the statement.

• Set C has no element.

• Set C is an empty set.

 $Given\ \ \ 30+\ 40\ \ge90\ \ \ \ \ or\ \ \ \ 30\ \div\ 15\ \ge1.$  

Determine the truth value of the compound statements.

• True

• False

All multiples of 8 are multiples of 4. 64 is a multiple of 8. Thus, 64 is a multiple of 4. 

• True

• False

Premise1:All actresses are good at dancing.
Premise2: Jasmine is an actress.
Conclusion: ____________________________


The above argument is a valid argument. What should be the conclusion.

• Jasmine is a good actor

• Jasmine is a good dancer

• Jasmine is good at dancing

Premise1:If x is a factor of 6,then 6 is divisible by x.

Premise2: 6 is divisible by 3.

Conclusion: 3 is a factor of 6.

Are the following arguments valid and sound?

• valid and sound

• not valid but sound

• valid but not sound

• not valid and not sound