One Step Exponent Rule
23 * 24
27 = 128
(2x7)2/x6
4x8
x5 * x2 = x 5*2 = x10
Supposed to ADD exponents.
Identify the INITIAL VALUE, MULTIPLIER, and whether it is GROWTH and DECAY.
y = 12 * (1/3)x
INITIAL VALUE = 12
MULTIPLIER = 1/3
DECAY
Fill out the table given the exponential equation:
y = 8*(1/2)x
x y
-1 16
0 8
1 4
2 2
x8/x2
x6
(x4 * x5)/x8
x
(4x3)7 = 4x3*7 = 4x21
Supposed to multiply 4's exponent to 7.
Identify the INITIAL VALUE, MULTIPLIER, and whether it is GROWTH and DECAY.
y = 78 * (3)x
INITIAL VALUE = 78
MULTIPLIER = 3
GROWTH
Fill out the table given the exponential equation:
y = 1/2*(3)x
X y
-1 1/6 = 0.1667
0 1/2 = 0.5
1 3/2 = 1.5
2 9/2 = 4.5
(2x8)5
32x40
x7*x-4
x3
x15/x5 = x15/5 = x3
Supposed to subtract exponents.
Identify the INITIAL VALUE, MULTIPLIER, and whether it is GROWTH or DECAY.
y = 123 * (15/5)x
INITIAL VALUE = 123
MULTIPLIER = 15/5
GROWTH
Create an exponential equation given a table:
X Y
-1 28
0 21
1 14
2 7
Y = 21 * (1/2)X
x-5
1/x5
x9/x-3
x6
9(x7)2 = 91*2x7*2 = 92x14 = 81x14
Supposed to not multiply 2 with 9's exponent.
Identify the INITIAL VALUE, MULTIPLIER, and whether it is GROWTH or DECAY.
y = 7 * (9/2)x
INITIAL VALUE = 7
MULTIPLIER = 9/2
GROWTH
Create the Exponential Equation given the table below:
X Y
-1 1
0 3
1 9
2 27
y = 3*(3)x
x2/x5
1/x3
9(x2)3/x4
9x2
6x4/2x3 = 6-2x4-3 = 4x
Supposed to DIVIDE coefficients.
Make the exponential equation given this information:
INITIAL VALUE = 6
MULTIPLIER = 1/2
y = 6*(1/2)x
What type of function is the following table? (Exponential, Linear, Both, or Neither)
X Y
-1 12
0 10
1 8
2 6
3 4
Linear, because subtract 2.