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Curriculum ReadyExponential and Power Graphs
Exponential and Power Graphs
SERIES TOPIC
K
1
100% Exponental and Power Graphs
Mathletics 100% © 3P Learning
Exponential & Power Graphs
11
EXPONENTIAL & POWER GRAPHS
Answer these quesons,
before
working through the chapter.Answer these quesons,
after
working through the chapter.
These are graphs which result from equaons that are not linear or quadrac. The exponenal graph has the variable as the exponent. The power graphs raise the variable to any power
n
.
But now I think:
What do I know now that I didn’t know before?
I used to think:
Which of these equaons is for an exponenal graph and which is for a power graph:
7
y
x
=
or
y x
7
=
?
For which value of
x
is
2
x
equal to zero?Is it possible for
5
y x
4
=
to be negave? Why?Which of these equaons is for an exponenal graph and which is for a power graph:
7
y
x
=
or
y x
7
=
?
For which value of
x
is
2
x
equal to zero?Is it possible for
5
y x
4
=
to be negave? Why?
SERIES TOPIC
K 11
2
100% Exponental and Power Graphs
Mathletics 100% © 3P Learning
Exponential & Power Graphs
Basics
,1 2
^ h
,1 2
^ h
, .1 0 5
^ h
, .1 0 5
^ h
Exponential Graphs
Exponenal graphs are of funcons with the variable in the exponent of the form
y a
x
=
or
ya
1
x
=
` j
where
1
a
2
. They have this form:
This could also be wrien as
a
x

Here are some important properes about exponenal graphs: ã They
always
cut the
y
axis at
,0 1
^ h
since
1
a
0
=
for any value of
a
.
ã The exponenal graph
never cuts the
x
axis
since
a
x
is never negave or zero if
0
a
2
.
ã The greater the value of
a
(the base), the
steeper
the curve.
2 1 0 1 2
432
1
x y
The
y
intercept of ALL exponenal curves is always
,0 1
^ h
No
x
intercepts
Sketch the graphs of
2
y
x
=
and
y
21
x
=
` j
on the same set of axes
x y x y
y
21
x
=
` j
y
2
x
=
y a
x
=
ya
1
x
=
` j
,
a
1
^ h
,
a
1
^ h
11