Show:
Building Functions
Operating on Functions and Transformation
Arithmetic and Geometric Sequences
Interpreting Parameters
Vocabulary
100
The value of a house generally increases over time. Logan buys a house for $200,000. After 1 year, the house is worth $220,000. After 2 years, the house is worth $240,000. After 3 years, the house is worth $260,000. Write a function that describes the relationship between the year and the house value?
What is f(x)=20,000x+200,000
100
If f(x)=3x+2 and g(x)=7x-1, what is (f+g)(x)?
What is 10x+1
100
What is the next term in the sequence? 3, -2, -7, -12, ...
What is -17
100
Identify the parameters (slope and y-intercept) in the function f(x)=2x+5.
What is The slope is 2 and the y-intercept is 5.
100
The measure of the rate of change of one variable with respect to another.
What is Slope
200
Which function represents the relationship between x and y shown: x 0 1 2 3 y 3 33 363 3993
What is f(x)=3(11)^x or 33(11)^x-1
200
If f(x)=x - 4 and g(x)= 3x + 2, what is (f x g)(x)?
What is 3x^2-10x - 8
200
What is the next term in the sequence? -1, 5, -25, 125, ...
What is -625
200
Identify the transformations in the function f(x)=1/2 (2)^x+3
What is vertical shrink by a factor of 1/2 and and the vertical shift up 3
200
A mathematical sentence that uses an equal sign (=) to that two quantities are equal.
What is Equation
300
Kerin drives at a speed of 55 miles per hour on the highway for her job. Write an equation that represents the distance she travels. If one day she drives for 6 hours, how many miles did she travel?
What is d=55t; 330 miles
300
If f(x)=x - 4 and g(x)= 3x + 2, what is 3f(x) - 4g(x)
What is -9x - 20?
300
The rule for an arithmetic sequence is an=5n+2 . What is the sixth term in the sequence?
What is 32?
300
Growth or decay: f(x) = 1/2 (4)^x - 1
Growth
300
a line that a graph gets closer and closer to, but never crosses or touches.
What is Asymptote
400
Which equation represents the relationship between x and y shown: x 0 1 2 3 y 3 42 588 8232
What is f(x)=3(14)^x or f(x) = 42(14)^x-1
400
Describe the transformations: f(x) = 3(2)^x - 4
What is vertical stretch by a factor of 3 and a vertical shift down 4?
400
The fourth term in an arithmetic sequence is 7. If the sequence has a common difference of 3, what is the explicit rule for the nth term?
What is an = 3n - 5 ?
400
Jamal has a membership to a magazine club. He pays $5.00 per month for membership and $1.25 for each magazine he purchases. What are the parameters in this scenario?
What is The slope is 1.25 and the y-intercept is 5
400
A function that can be written in the form f(x)=mx+b, in which m is the slope, b is the y-intercept, and the graph is a straight line.
What is Linear Function
500
A population of bears is decreasing. The population this year is 200 bears. After 1 years, it is estimated that the population will be 160 bears. After 2 years, it is estimated that the population will be 128 bears. Which equation describes the bear population in any year x?
What is f(x)=200(.8)^x
500
f(x)=(1/3)^ +4 and g(x)=(1/3)^ -1. If g(x) can be written as f(x)+k, which is the value of k?
What is -5
500
Write a rule for the nth term of the sequence: 9, -3, 1, -⅓,…
What is an = 9(-1/3)^n-1
500
Yuri has invested $250 in a stock that is expected to earn 5% interest. Write a model to represent the situation and find the value in 5 years
What is y = 250 (1.05)^t; $319.07
500
A function that has a variable in the exponent; the general form is f(x)=ab^x, where a is the initial value, b is the rate of decay or growth, x is the time, and f(x) is the final output value.
What is Exponential Function