Functions (Graphs and Behaviour)

Construct Graphs from Tables of Values or Descriptions of Situations

Strengths and Limitations of Models

Identifying Curves and Equations

Polynomial curve sketching

Mixed Graphs I (linear, quad, exp, circles)

Comparing Functions (quad, cubic, exp, linear)

Domains (graphs and equations)

Choosing the correct function model

Hybrid Functions

Intersections of Graphs by other methods I

Intersections of graphs by other methods II

Class XI

Choosing the correct function model

Interactive practice questions

Consider the following equation:

$y=x\left(x+4\right)$y=x(x+4)

What type of function is this?

Exponential

A

Reciprocal

B

Cubic

C

Quadratic

D

Easy

< 1min

Consider the following equation:

$xy=-3$xy=−3

Easy

< 1min

Consider the following equation:

$y=\left(x-2\right)\left(x+3\right)^2$y=(x−2)(x+3)2

Easy

< 1min

Consider the following equation:

$y=3\times0.2^x$y=3×0.2x

Easy

< 1min

Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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