Vocabulary
An ________ is a value that you get closer and closer to, but never quite reach.
What is an asymptote.
4-3 in fraction form
1/64
What is the sum of 12√7 and 6√7
What is 18√7?
What is the y-intercept of f(x) = 8(1/2)x?
What is 8
f(x) = a(1+r)x
What is exponential growth formula?
When A and B are both greater than or equal to 0.
What is the Product Property of Square Roots?
Simplify x1/4x-1/5 and write the answer with only positive exponents.
x1/20
Multiply √25 and √3
What is √75?
Identify whether this statement represents an exponential function:
a population of bacteria decreases by a factor of 1/8 every 24 hours.
Exponential
f(x) = a(1-b)x
What is decay fromula?
When you have points with a ____ _______, it means that your y:x or x:y ratio is the same for all points.
What is constant ratio?
Solve √25.
what is 5?
√180 in simplest form.
What is 6√5?
What is the y-intercept of the function y=2x?
What is (0,1)?
How do you know whether a function is growing or decaying?
If a is positive and b is greater than 1, it is growing. If a is positive and b is less than 1 but greater than 0, then it is decaying.
The ___________ is how much an amount decreases over time.
What is decay factor?
((2)3)1/2 in decimal form
What is 2.83?
34√32
_____
24√162
What is 1?
Which of the following statements is NOT true regarding the exponential function y =2x+4?
- The domain is all Real numbers.
- The average rate of change is constant.
- The y-intercept is (0,5).
- The asymptote is y = 4.
The average rate of change is constant.
A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour. Is this problem a demonstration of growth or decay?
What is growth?
James is trying to find the growth rate of a new company that has recently emerged in his town. This type of function is what James is trying to find.
What is exponential growth?
The profits of a bank double in size every 4 hours. If the initial profit of the bank is 1000, what will the profit be at after 16 hours? Create an equation to represent.
What is f(x)= 1000(2)x/4
The diagonal of a square-shaped garden is represented by the expression √50 feet. If each side of the square is of equal length, what is the length of one side of the garden?
What is 5√2 feet.
Raymond works for a pharmaceutical company that is testing the effectiveness of a new medication. He gave one of the study participants 400 milligrams of the medication, and he knows the amount remaining in the participant's body will decrease by 1/3 each hour. Write an exponential equation in the form y=a(b)x that can model the amount of medication, y, remaining in the participant's body after x hours.
What is 400(2/3)x?
The population of an endangered bird is decreasing at a rate of 0.75% per year. There are currently about 200,000 of these birds. Write a function that models the bird population. How many birds will there be in 100 years?
Approximately 121,000 birds in 100 years.