Topics
4. Logarithmic and exponential functions
topic badge
AustraliaVIC
VCE 12 Methods 2023

4.02 Transformations of the natural exponent function

Lesson
Worksheet
Practice

Interactive practice questions

Use a calculator or other technology to approximate the following values correct to four decimal places:

a

$e^4$e4

b

$e^{-1}$e−1

c

$e^{\frac{1}{5}}$e15​

Easy
1min

Use a calculator or other technology to approximate the following values correct to four decimal places:

Easy
1min

Simplify $3e^x+4e^x$3ex+4ex.

Easy
< 1min

Simplify $5e^x-2e^x$5ex−2ex.

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

U34.AoS1.2

graphs of the following functions: power functions, y=x^n; exponential functions, y=a^x, in particular y = e^x ; logarithmic functions, y = log_e(x) and y=log_10(x) ; and circular functions, 𝑦 = sin(𝑥) , 𝑦 = cos (𝑥) and 𝑦 = tan(𝑥) and their key features

U34.AoS1.7

the key features and properties of a function or relation and its graph and of families of functions and relations and their graphs

U34.AoS1.14

identify key features and properties of the graph of a function or relation and draw the graphs of specified functions and relations, clearly identifying their key features and properties, including any vertical or horizontal asymptotes

U34.AoS1.10

the concepts of domain, maximal domain, range and asymptotic behaviour of functions

What is Mathspace

About Mathspace