Exponential Graphing
Where would the asymptote be in this function?
y=4(3)^x
y=0
y= $293,201.03
Write 63 million in scientific notation
6.3*10^7
Simplify the following
x^5 *x^4
x^(5+4)
x^9
Simplify the following
(x^6)^3
x^(6*3)
x^18
What is the y-intercept of the function?
y=16(1/2)^x
(0, 16)
The population of Gower is 1,520 people. The town is predicted to increase at a rate of 3%. What would the population be in 8 years?
y=1520(1+.03)^8
y=1925 people
Write in standard form:
5.2*10^-5
0.000052
Simplify the following
x^7/x^-3
x^(7--3)
x^10
Simplify the following
-7a^2b-2a^2b
-9a^2b
Explain why the following is exponential growth.
y=5(3)^x
Because the b value is 3.
The values would be multiplied by 3 each time.
Doug purchased land for $8,000 in 1995. The value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002.
$6011.58
(3.9*10^-12)/(4*10^4)
9.75*10^-17
Simplify the following
4x^3 * 3x^5
4*3x^(3+5)
12x^8
Simplify the following
(2x^4)^3
2^3x^(4*3)
8x^12
Explain why the following is exponential decay.
y=8(1/4)^x
The b value is 1/4.
The values would be divided by 4 each time.
You buy a new car for $25,000. The car decreases in value by 5% per year. What price will the car be in 10 years?
y=25000(1-0.05)^10
y=$14,968.42
What is the product of:
(8.4*10^8) and (4.2*10^3)
3.528*10^12
Simplify the following
(x^5y^6z^9)/(x^3yz^4)
x^2y^5z^5
Simplify the following.
(6a^4b^6)^2
6^2a^(4*2)b^(6*2)
36a^8b^12
Find 3 coordinate points on the graph of the function.
y=3(3)^x
(-1, 1)
(0, 3)
(1, 9)
(2, 27)
(3, 81)
You have $80 and your money is increasing at 1.2% every year. How much will you have in 15 years?
y=80(1+0.012)^15
y=$95.67
Solve the scientific notation:
(9.1*10^-3)+(5.8*10^-2)
6.71*10^-2
Simplify the following. NO NEGATIVE EXPONENTS
(14a^6bc^2)/(2a^3b^5c^3)
7a^(6-3)b^(1-5)c^(2-3)
7a^3b^-4c^-1
(7a^3)/(b^4c)
Simplify the following. NO NEGATIVE EXPONENTS
(a^2b^3)^2*(4a^3b^2)+9a^7b^8
a^4b^6*(4a^3b^2)+9a^7b^8
4a^7b^8+9a^7b^8
13a^7b^8