Page 73 - ADVANCED MATH F.5

Form Five Form Five

Graphs of exponential functions
Teaching steps
1. Guide students through discussion to recognize the nature of

graphs of exponential functions. Assist students to discuss the
FOR ONLINE READING ONLY
procedures for sketching graphs of exponential functions.
2. Use Examples 4.27, 4.28, and 4.29 in the Student’s Book
to guide students to sketch graph of exponential functions.
Engage students to use GeoGebra or any other mathematical
software to verify the answers of the given examples. Advise

students to make presentations from their findings for more
inputs.
3. Instruct the students to attempt Exercise 4.8 in the Student’s
Book. Advise students to submit their work, check the

correctness of the answers and provide them constructive
feedback where necessary.

Answers to Exercise 4.8

1. Domain = { : ∈xx } (e) Domain = { : ∈xx }

Range = { : ∈ yy ,  y > } 0 Range = { : ∈ yy ,  y > } 3

2. (a) Domain = { : ∈xx } 6. (a) Domain = { : ∈xx }
Range = { : ∈yy , y > − } 4 Range = { : ∈ yy ,  y > } 7

(b) Domain = { : ∈xx } (b) Domain = { : ∈xx }
Range = { : ∈ yy ,  y < } 0 Range = { : ∈yy , y >− } 1

(c) Domain = { : ∈xx } (c) Domain = { : ∈xx }
Range = { : ∈yy , y >− } 3 Range = { : ∈ yy ,  y > } 0

(d) Domain = { : ∈xx } (d) Domain = { : ∈xx }
Range = { : ∈ yy ,  y < } 1 Range = { : ∈ yy ,  y > } 1

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Mathematics for Advanced Secondary Schools

30/06/2024 18:02:07
ADVANCED MATH F.5 TG CHAPTERS.indd 67
ADVANCED MATH F.5 TG CHAPTERS.indd 67 30/06/2024 18:02:07