topic badge

9.07 Defining e and the natural logarithm

Interactive practice questions

Consider the function $f\left(x\right)=e^x$f(x)=ex.

a

Complete the following table of values, rounding to two decimal places:

$x$x $-3$3 $-2$2 $-1$1 $0$0 $1$1 $2$2 $3$3
$f\left(x\right)$f(x) $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Hence identify the graph that correctly represents $f\left(x\right)=e^x$f(x)=ex:

Loading Graph...

A

Loading Graph...

B

Loading Graph...

C

Loading Graph...

D
Easy
3min

Consider the graph of $y=e^x$y=ex.

Easy
2min

$f\left(x\right)=e^x$f(x)=ex and its tangent line at $x=0$x=0 are graphed on the coordinate axes.

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

MA11-6

manipulates and solves expressions using the logarithmic and index laws, and uses logarithms and exponential functions to solve practical problems

What is Mathspace

About Mathspace