Exponential Function Family
equations are in the form:
y=
EQUATIONS
Tell whether or not the equation represents an exponential
function. If not,explain why.
a) y = 2(4)x
b) y = 1/2(–5)x
c) y = –1/5(3)x
d) y = 6(1)x
e) y = –(2/3)x
f) y = –3(x)2
where a_____ , b_____ , b_____
g) y = 7x
TABLES
TABLES
Linear
Function
y = mx + b
Tell whether the table represents
a linear function, anexponential function, orneither.
a)
b)
Exponential
Function
y = a(b)x
-3
-2
-1
0
-12
-3
6
15
+9
c)
+9
+9
WRITE EQUATIONS FROM TABLES
WRITE EQUATIONS FROM TABLES
–2
–1
0
1
2
2
9
2
3
2
6
18
this is the table for
the function:
y = 2(3) x
Write the exponential function for each table
a)
b)
a: ___ b: ___
Can you figure out what "a" and "b" represent?
x -2 -1 0 1 2
c) y 1/4 1/2 1 2 4
a=
x
1 2
d) y -2 -1 0
243 81 27 9 3
b=
GRAPHS
GRAPHS
Make a table of values usinga and b. Then plot the points to graph.
Make a table of values usinga and b. Then plot the points to graph.
y = 2X
a: ____ b: ____
x -2 -1 0 1 2
y
1
y = -(2 )X x -2 -1 0 1 2
a: ____ b: ____
y
GRAPHS
GRAPHS
Make a table of values usinga and b. Then plot the points to graph.
Make a table of values usinga and b. Then plot the points to graph.
-1
y = 3 (2)X x -2 -1 0 1 2
y = 5( 5 )X x -2 -1 0 1 2
a: ____ b: ____
y
4
a: ____ b: ____
y