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What is the asymptote of all the exponential functions we have studied so far?
The x-axis or y = 0.
What is an asymptote?
An imaginary line the graph gets closer and closer to.
Is the equation y = 5(-4)^x an exponential? Explain your reasoning.
No. The b-value cannot be negative.
How can you tell if an equation is exponential decay?
0<b<1
How can you tell if an equation is exponential growth?
b>1
Write an equation to represent the table.
y=27(2/3)^x
A major teach company, Expo Grow, is growing fast. The number of employees, y, can be found using y=3(4)^x where x is the years since the company was founded. Describe the growth.
The number of employees quadruple each year.
A major teach company, Expo Grow, is growing fast. The number of employees, y, can be found using y=3(4)^x where x is the years since the company was founded. How many people formed the company?
3
A 100-gram sample of radioactive isotope decays at a rate of 6% every week. How big will the sample be one year from now?
4 grams
There are currently 1800 trout in a lake. The Fish and Game Dept found that each week 33 percent of the fish die. Write an equation to model the number of fish in the lake.
y=1800(0.67)^x
What type of graph is created by the equation y = ab^x?
Exponential
What type of graph is created by the equation y = mx + b?
Linear
A smart phone loses 30% of its value each year. If a smart phone initially costs $120, write an equation to model its value.
y=120(0.7)^x
Write an equation to represent the table.
y=7(2)^x
Complete the table.
20, 60, 180
Write an equation to represent the graph.
y=1(0.25)^x
Write an equation to represent the table.
y=11(3)^x
Write an equation to represent the table.
y=600(0.5)^x
Arnold dropped a ball and recorded its height in the table shown. Write an equation to represent the data.
y=132(0.8)^x
The math club is growing in popularity! Each year their membership increases by 30%. If the club has 45 members, how many members should it expect to have five years from now?
167
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