Vocabulary
Linear Functions
Quadratic Functions
Exponential Functions
General Functions
100
the steepness of a line
slope
100
What is the slope of y = -30x + 18?
-30
100
the standard form for quadratic functions
y = ax^2 + bx + c
100
the formula for exponential functions
y = a(b)^x
100
Is this a function? Why or Why not?
no, fails VLT
200
two words that also mean the y-intercept
initial value
200
Write an equation of the line with (2,5) and m = -4
y = -4x + 13
200
draw a quadratic function with a maximum
(see whiteboard)
200
What value of b makes it an exponential growth function?
values greater than 1
200
What is the range?
-4 < y < 4
300
known as roots, zeros, or solutions
x-intercepts
300
Write an equation of the line through (-5,7) and (0,8)
y = 0.2x + 8
300
What is the vertex and axis of symmetry of y = 3x^2 - 18x + 1
AOS: x =3
Vertex: (3, -26)
300
draw an exponential decay function
(see whiteboard)
300
Evaluate f(x) = -2x + 7 when x = 4
-1
400
functions that have a maximum or minimum, and an exponent of a 2
quadratic function
400
The function y = 1.05(2x + 6) can be used to determine the total cost, y, for purchasing a candle stand for x candles, after tax. What is the rate of change of the cost with respect to the number of candles?
2.10 per candle
400
Convert from standard form to vertex form (y = a(x-h)^2+k)
y = 3x^2-6x-11
y = 3(x-1)^2-14
400
Given: y = 25(0.23)^x is the function growth or decay?
decay
400
What is x when f(x) = 4
x = 2
500
what is the fastest growing or decaying function
exponential function
500
A kayak rental company at a campground charges its customers $10 per hour for renting a kayak and a fixed amount of $2 for a bag to keep belongings dry. A customer rents the kayak for h hours and chooses one bag. Which equation can be used to find the total amount, C, in dollars, the customer will be charged?
y = 10x + 2
500
Describe the transformations of: y = -(x+7)^2 - 4
flips, left 7, down 4
500
Write the equation for the scenario: The cost of private school is $12,000 and is increasing by 19% each year. What will the cost be at the private school after 5 years?
y = 12000(1+.19)^5
500
Is this table linear or exponential? Write the equation.
Linear, y = 2x + 3