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Exponentials and Logarithms
· This chapter is focused on functions
which are exponential
· These functions change at an
increasing/decreasing rate
· Logarithms are used to solve problems
involving exponential functions…read more

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Exponentials and Logarithms
y
Graphs of Exponential Functions
8
7
You need to be familiar with the
function; 6
5
where
4
For example, y = 2x, y = 5x and so 3
on... 2
1
1) Draw the graph of y = 2x x
-3 -2 -1 1 2 3
x -3 -2 -1 0 1 2 3
Any graph of will be the same
1 1 1
y /8 /4 /2 1 2 4 8 basic shape
It always passes through (0,1) as
Remember: anything to the power 0 is equal to 1
3A…read more

Slide 5

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Exponentials and Logarithms
Graphs of Exponential Functions
All pass through
(0,1)
Here are a few more examples of
graphs where
They never go
below 0
y = 3x
Notice that either
side of (0,1), the
biggest/smallest
values switch
y = 2x Above (0,1), y = 3x
is the biggest
value, below (0,1), it
is the smallest...
y = 1.5x
3A…read more

Slide 6

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Exponentials and Logarithms
Graphs of Exponential Functions
The graph y = (1/2)x is a
Here are a few more examples of reflection of y = 2x
graphs where
y = 2x
y = ( 1/ 2 ) x
3A…read more

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