Linear
Quadratic
Exponential
Logarithmic
Polynomial & Rational
100
Slope and y-intercept of:
y=3x - 4
m = 3
b = -4
100
Standard form of quadratic equation
ax2+bx+c = 0
100
R(t) = 74.45(.78)t
What is the initial value?
What is the rate of change in percent?
Initial value = 74.45
Percent rate of change = -22%
100
100=10x
x = 2
100
Find domain of the function:
4x
---
5-x
all real except 5
200
f(-5) given f(x) = -2x+1
f(-5) = 11
200
Quadratic formula
200
Given P(t)=1000(1.08)t find P(75)
P(75) = 321205
200
Log property
log(a*b) = ?
log(a) + log(b)
200
y = x-3x2+4
what is the leading term of these function
-3x2
300
Slope and y-intercept of f
m = -2/3
b = 5
300
Find x-intercepts of the function:
y=x2-2x-8
x=-2, x=4
300
On July 1, 2016, the population of California was 39.25 million and was increasing at an annual rate of 0.66%. Assuming constant growth, write an exponential model for population after t years, where 2016 is t = 0
P(t) = 39.25(1.0066)t
300
3(1.081)t=14
t = 19.78
300
find domain of the function:
sqrt(2x+4)
------------
3x - 9
(-2,inf) except 3
400
Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card.
Write a linear equation that will show the amount of money after x meals.
How much money will be left after 10 meals?
y = -4.5x + 120
f(10) = 75
400
A football player kicks a ball. The height in meters h as a function of the horizontal distance traveled d is given by:
h=0.75d - 0.0192d2
When the ball hits the ground, how far is it from the original position?
39 m
400
P(10) = 3.7
r = 4%
what is the initial value
a = 2.5
400
2log2(4x+8) - 6 = 2
x = 2
400
vertical asymptotes or holes
(x2-4)(1-x)
-------------
(x-2)(1+x)
hole x=2
asymptote x=-1
500
Intersection of two lines:
y= -4x + 20
y= 2x - 4
(4,4)
500
A football player kicks a ball. The height in h as a function of the horizontal distance traveled d is given by:
h=0.75d - 0.0192d2
What is the maximum height of the ball? What is the horizontal distance the ball has traveled when it is at its maximum height?
height = 7.3 m
distance = 19.5 m
500
After working for four years you are paid $18.3 per hour, after working for 2 years you are paid $15.13 per hour. Your hourly wage increases every year by a constant percent rate. What is that rate?
10% increase
500
log(x2)+log(x3)
------------------- = 3
log(100x)
x = 1000
500
y-intercept & x-intercepts
(x2-4)(1-x)
-------------
(x-2)(1+x)
y=2
x=-2, x=1