Week 1- Domain, Range, Symmetry, and Intercept

Question 1

What is Differentation?

Answer 1

Differentation is the process of finding the derivative of the given function

Question 2

What is Derivative?

Answer 2

Rate of change denoted by Y’, or f’(x)

Question 3

2 main divisions in differential calculus

Answer 3

Algebraic and Transcedental function

Question 4

What is Relation?

Answer 4

Any set of ordered pair (x,y) where x belongs to one set and y belongs to another set

Question 5

Domain is?

Answer 5

set of all x

Question 6

Range is?

Answer 6

set of all y

Question 7

what is abscissa?

Answer 7

x

Question 8

What is ordinate?

Answer 8

y

Question 9

set of ordered pairs (x,y) in which no two distinct pairs have the same first number

Answer 9

function

Question 10

Is one to many a function or not? Justify.

Answer 10

One to many is not a function since there could only be one unique Y value for every value of X

Question 11

Geometric representation of all points which satisfy the given function or equation

Answer 11

Graph of a function

Question 12

If f(x) is a function, then the graph of f(x) is ________ in a rectangular plane which _____ is an ordered pair in f(x)

Answer 12

1. set of all point

2. (x,y)

Question 13

Preliminary tests to lessen the difficulty of plotting a function

Answer 13

Identify the domain, range, symmetry and intercepts

Question 14

How to find the domain

Answer 14

solve for y in terms of x

Question 15

How to find the range?

Answer 15

solve for x in terms of y

Question 16

Points where the curves crosses the axes

Answer 16

Intercepts

Question 17

If a point (x,y) is on the graph and (-x,y) is also on the graph, then the graph is symmetric with respect to the?

Answer 17

Y axis

Question 18

If a point (x,y) is on the graph and (x,-y) is also on the graph, then the graph is symmetric with respect to the?

Answer 18

Y axis

Question 19

How to identify if a function is symmetric to the origin?

Answer 19

A function is symmetric to the origin if it is symmetric to both y and x axis