Algebra And Functions

Question 1

Name the types of proof

Answer 1

Logical consequence

Disproving conjecture

Proof by exhaustion

Proof by deduction

Question 2

Explain proof by logical consequence

Answer 2

Use implication to prove something is true

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Question 3

Explain Disproving a conjecture

Answer 3

Find a value that is not true using algebra

Question 4

Define conjecture

Answer 4

A statement

Question 5

Describe proof by exhaustion

Answer 5

Try multiple values untill one is not true (use actual numbers)

Question 6

Explain proof by deduction

Answer 6

Use algebra to prove something is true

Question 7

Within 4 consequtive numbers how many multiples of 1 2 3 4 are there?

Answer 7

2 múltiples of 2 (one of which if a multiple of 4)

1 multiple of 3

Question 8

What is a multiple

Answer 8

A number in the multiplication table of that number

Question 9

Define factor

Answer 9

Numbers that times together to make a number

Question 10

What is the definition of function

Answer 10

Every input has one output

Question 11

Define the domain of a function

Answer 11

The input X

Question 12

Define the range of a function

Answer 12

Output y

Question 13

Why do you find the inverse of a function

Answer 13

Replace X for y and solve for y

Question 14

What is the definition of an even function

Answer 14

Symmetry about y axis

Question 15

What is the definition of An odd function

Answer 15

Rotational symmetry order 2 (180)

Looks same upside down

Question 16

What type of mapping must a equation have to be a function

Answer 16

Many or one to one

Question 17

How do you find the inverse of a function

Answer 17

Swap X and Y around

Solve for y and replace with f-1(x)

Question 18

What is the domain of a function

Answer 18

All possible X values

Question 19

What is the range of a function

Answer 19

All the possible y values

Question 20

What does a one to one mapping mean

Answer 20

One X value for every y value and vice versa

Question 21

What does many to one mapping mean

Answer 21

Multiple X for same y

One y for every X

Question 22

What is the domain and range of an inverse related to the original function

Answer 22

Domain of inverse=range of original

Range of inverse= domain of original

Question 23

What is a self inverting function

Answer 23

Where the inverse of a function is the same as the function itself