Modeling w/ Functions
A population starts at 500 and increases by 150 every year. This type of function is used to model this.
Solve sin(π/6) without the use of a calculator
What is 1/2?
The parent function of y = x2+4x-9
What is y = x2?
Find all the zeroes of x2-9=0
Solve 2x=8
x = 3
A car depreciates in value by 10% every year. This type of function is used to model this.
What is an exponential decay function?
The period of y = sin(4x)
What is π/2?
The transformations of y=-2(x+1)2-4
What are: Reflected across the x-axis, vertically dilated by a factor of 2, shifted 1 to the left, and shifted 4 downward.
Find the end behavior of y = -x4
What is: pointing down on both ends, going towards negative infinity and x increase and decreases.
Rewrite log381=4 in exponential form
What is 34=81?
This function, h(t)=−16t2+48t+5, models the height of a ball thrown off a roof. What does the vertex represent in this situation?
The vertex represents the highest point of the ball.
The amplitude of y = -5cos(x)
What is 5?
The domain of y = √(x-7)
What is [7,∞)
Find the vertical asymptotes of 1/(x-5)
What is x = 5
Expand log(xy2)
What is log x + 2log y?
A phone plan, C(t), costs $30 base and $0.05 for every text message. Write a model to depict this.
What is C(t) = 30+0.05x
Solve 2sin(x)=1 for 0≤x<2π
What is π/6, 5π/6?
Find f(3) if f(x) =2x3-5x+1
What is 40?
What is 3?
Solve ln x = 5. Leave in terms of e
What is x = e5?
A bacteria culture with a population of 200 doubles every three hours. Write an exponential model, P(t), where P is the population and t is hours after starting.
What is P(t) = 200(2)t/3?
Find sin(5π/12) using the sine addition identity.
What is (√6+√2)/4
What is f-1=(x-2)/3
Identify any holes in (x2-4)/(x-2)
What is (2,4)
An investment with a starting value of $10,000 goes up by 0.15% every year. Write a exponential growth function to model this.