SOME FUNCTIONS AND THEIR GRAPHS

Shape & Space 1

Prerequisites

Sketch a graph of the linear function that has a slope of -2/3 and a y-intercept of 5.

Consider the function y = - (x + 1)2 + 4. a) Draw the graph of this function. b) Identify the x- and y- intercepts. c) What are the domain and range of this function?

Consider . a) Evaluate: i) f(3) ii) f(-1) b) Explain why f(-6) cannot be determined.

f (x) 2x 3

Answers to Prerequisites

#1

Answers to Prerequisites continued

Answers to Prerequisites continued

#3

Some Functions and Graphs You Should

Already Know

Linear Functions

Linear Example

C 750 20n

Number of yearbooks

Tota

l C

ost

($)

Quadratic Functions

Quadratic Example

h 4.9t 2

Time (s)

Heig

ht

(m)

Reciprocal Functions

Reciprocal Example

Annual Interest rate

Am

ou

nt

($)

A100

i

Square Root Function

Square Root Example

d 113 h

Height (km)

Dis

tan

ce (

km

)

Absolute Value Function

Textwork

p. 10/ 1-9Challenge: p.12/ 10-11