Linear Functions
Quadratic Functions
Exponential Functions
Comparing Functions
Our Great Leader, Mr. Sanders
100
What is the slope and y-intercept of the following function?
y=-x/2+6
\text{slope}=-1/2
\text{y-intercept}=6
100
What is the y-intercept of the following function?
f(x)=x^2+14x-14
y=-14
(0,-14)
100
Determine whether an equation models growth or decay.
a) growth b) decay
c) growth d) growth
100
Identify the graphs as linear, exponential, quadratic, or neither
Quadratic
Neither
Exponential
100
This is Mr. Sanders' favorite beverage.
Gatorade.
200
Find the equation of this graph.
y=3/4x - 4
200
Solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
200
A population of bacteria doubles every hour. If the culture started with 10 bacteria, write an equation to model the bacteria's the population as a function of time.
y=10(2)^t
200
Identify the following as linear, exponential, quadratic, or neither
7. exp.
8. linear
10. quadratic
11. exp.
200
This is Mr. Sanders' greatest fear.
Spiders. Heights. Bees.
300
Describe "slope" in words. (Do not simply give the equation.)
The slope of a line represents the rate of change.
It is the ratio of the vertical change in y over the horizontal change in x between any two points on a line. It indicates the direction in which a line slants as well as its steepness.
300
When does this function reach its minimum?
f(x)=x^2-6x+17
(3,8)
300
Given f(x)=4x , find the y-intercept.
y-intercept: (0,1)
300
Identify the following as linear, exponential, quadratic, or neither. Explain why
Quadratic. The y values have a second common difference of 2.
300
This is Mr. Sanders' favorite Alegbra 1 class.
3rd period.
400
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make for babysitting for 8 hours?
y=5x+3
$43
400
The vertex form for the quadratic function y=x2 - 4x + 8 is ______.
What is (x-2)2+4 ?
400
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of one day?
y=224
y=16,777,216
400
Identify the following as linear, exponential, quadratic, or neither. State your reasoning
Neither, does not have a common difference, second common difference, or common ratio.
400
This is Mr. Sanders' favorite color(s).
Burgundy and Gold.
500
A company sells doughnuts. They incur a fixed cost of $25,000 for rent, insurance, and other expenses. It costs $0.25 to produce each doughnut.
Write a linear model to represent the company's cost as a function of the number of doughnuts produced.
\text{a. }C(x)=0.25x+25000
500
The path of a rocket is given by the following function, where 'h' is the height in meters and 't' is the time in seconds.
h(t)=—3t^2 + 30t + 73
a) At what time does the rocket reach its maximum height?
b) What is the maximum height of the rocket?
a) 5 seconds
b) 148 m
500
A sample of 1,000 bacteria becomes infected with a virus. Each day, one-fourth of the bacteria sample dies due to the virus. What is the equation to model this scenario?
P(t) = 1,000(0.75)t
500
Identify the following as linear, exponential, quadratic, or neither. Explain why.
Exponential. There is a common ratio of 3
500
This is Mr. Sanders' duty at school.
Afternoon Parking Lot Parent Loop.