J
Solve for x.
4(x-1) = 2(4x + 1) + 2
2x + 3 = 15
-2;6
Evaluate the expression
6(x-7)+1 for x=10
55
|x+3| = 4
1 and -7
Write the inequality for the graph below
9 > or equal to x > or equal to 5
Expression
Inequality
Equation
Compound Inequality
Expression 4x -5
Inequality 10>3
Equation y=mx+b
Compound inequality x < 6 or x > 10
m=
Equation=
Given two points: (4,1) and (-2,4)
m=
Equation=
m= - 1/3
Equation= y= 1/3 + 2
m= -1/2
Equation= y=1/2x + 3
f(0)=
f(x)= 5, x =
6
2
h(7)=
f(3) + g(2)
if f(x) = 10, find x
if h(x) = 7, find x
5
0
-3
10
x = -2, -1, 0, 1, 2
y= 7, 11, 15, 19, 23
linear or exponential
rate of change
write an equation
Linear
Add 4
y=4x + 15
x= 0, 1, 2, 3
y= 64, 16, 4, 1
Linear or exponential
Rate of change
Equation
Exponential Decay
Times 1/4
y=1/4x + 64
x= -1, 0, 1, 2
y= .125, .25, ,5, 1
Linear or exponential
Rate of change
Equation
Exponential Growth
Times 2
y= 2x + .25
Bob opened a new savings account at this neighborhood bank. When he opened the account he put in 2000 and each month he deposits an additional 100 dollars
Linear or exponential
Linear
Francisco opened a new savings account at this neighborhood bank. When he opened the account he put in 2 and each month he deposits additional money so he doubles what is in his account
Linear or exponential
Exponential
Domain:
Range:
Max:
Min:
x-intercept:
y-intercept:
f(0):
f(7):
if f(x) = 4, then x=
increasing:
decreasing:
positive:
negative:
Domain: [-10, infinity)
Range:(-infinity, 5]
Max: 5
Min: - infinity
x-intercept: (-6,7)
y-intercept: 3
f(0): 3
f(7): 0
if f(x) = 4, then x= 2
increasing:[-10,5]
decreasing:[5, infinity]
positive:5
negative:-10
f(x) = 4 x (1/2) x
-2
-1
0
1
2
Asymptote:
-2 = 16
-1 = 8
0 = 4
1 = 2
2 = 1
Asymptote: y = 0
y = 2 x + 1
-2
-1
0
1
2
Asymptote
-2 = 5/4
-1 = 3/2
0 = 2
1 = 3
2 = 5
Asymptote: y= 1
Solution?
point:(2, -3)
2x - y = 7
3x + 2y = 0
yes
point (6,2)
x + y > 8
2x - y < 10
No
-6x + 5y = 1
6x + 4y = -10
(-1,-1)
x-2y=3
3x+4y=-1
(1,-1)
Max
Mix
Domain
Range
Increasing
Decreasing
Positive
Negative
Max= (infinite, infinite)
Mix=(1,2)
Domain=[1, infinite)
Range=[2, infinite)
Increasing=[1, infinite)
Decreasing= None
Positive=[1, infinite)
Negative=None
Part of Rachels course id downhill. At what time was Rachel most likely on this part of the course?
The line segment from 30-45 minutes is horizontal what does this mean
60
She stayed constant
What makes a relation a function
One input has exactly one output
In the year 1990 the Provo river had 8 different types of fish. Biologists have been monitoring as some new species of fish have spread into the river. The biologists are predicting a new species shows up in the river at a rate of about 2% each year. How many different species of fish would you predict are in the river in the year 2020?
growth or decay?
equation
answer
Growth
y=8(1+0.02)30
14.49