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. Which Function Describes the relationship between the year and the house value?
What is f(x)=20,000+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 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 y 0 3 1 33 2 363 3 3993
What is f(x)=3x11^
200
If f(x)=2^ and g(x)=4, what is (f x g)(x)?
What is 4(2)^
200
What is the next term in the sequence? -1, 5, -25, 125, ...
What is -625
200
Identify the parameters in the function f(x)=2^x+3
What is The growth factor is 2 and the vertical shift is 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)=2^ and g(x)=2, what is (f / g)(x)?
What is 1/2(2^)
300
The rule for an arithmetic sequence is a sub n=5n+2 . What is the sixth term in the sequence?
What is 32
300
Identify the parameters in the function f(x)=4(3^x)
What is The growth factor is 3 and the coefficient is 4
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 y 0 3 1 42 2 588 3 8232
What is f(x)=3x14^
400
f(x)=-2x-7 and g(x)=-2x+2. If g(x) can be written as f(x)+k, which is the value of k?
What is 9
400
The fourth term in an arithmetic sequence is 7. If the sequence has a common difference of 3, what is the ninth term?
What is 22
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)=200x0.8^
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
The rule for a geometric sequence is a sub x =64(1/8)^x-1 What is the eighth term in the sequence?
What is 1/32,768
500
Yuri has invested $250 in a stock that is expected to double every 8 years. What are the parameters in this scenario?
What is The base is 2 and the coefficient is 250
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