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Algebra 2 Review
What is the domain of the function?
What are the local maxima?
Algebra 2 Review
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Basics on Algebra 2
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Answers
1
What are the local maxima?
(-3, 0)
(0, 0)
[-3, 0]
(1, 4)
2
What is the domain of the function?
[-∞, ∞]
(-2, 3)
(-∞, ∞)
[-2, 3]
3
Mr. Spence starts a book at page 34 and reads 2 pages per minute. Write the equation.
y = 2x + 34
y = 34x + 2
2x + 34y = 0
2y + 34x = 0
4
In a soccer tournament, the number of teams drops in half each round. How would you solve this?
Table
Graph
Equation
5
What is the equation of the exponential parent function?
y = log x
y = 2x
y = √x
y = x2
6
What is the general form of a linear function?
y = mx + b
y = a(b)x
y = x2
y = x
7
Where is the function increasing?
[-3, -2) U (0, 1)
(-3, -2] U [0, 1]
(-2, 0)
[-2, 0]
8
Where does "b" tell you in the exponential function?
y - intercept
growth/decay factor
x - intercept
slope
9
A house loses an eighth of its value each year. What equation models this relationship?
y = 2x
y = mx + b
y = a(b)x
y = √x
10
Describe the graph of the quadratic parent function.
Upward U-shape, symmetric on y-axis, passes through (0,0)
Upward U-shape, symmetric on y = 1, passes through (0,0)
Upward U-shape, symmetric on y-axis, passes through (1, 4)
Downward U-shape, symmetric on y-axis, passes through (0,0)
11
How many local extrema are there?
2
5
3
0
12
What are the local minima?
[-2, 4]
(1, 4)
(-2, -4)
(-3, 0)
13
What is the formula for slope?
m = run / rise
m = y / x
m = rise / run
m = x / y
14
Describe the trends in the graph.
In 2009, the electricity use increased in Feb.
In 2007, the electricity usage increased from May to Dec.
There was an increase in May and decrease in Sep.
In 2007, the electricity use decreased from Sep. to Nov.
15
A fee of $2 doubles daily. What would the fee be on day 4?
$8
$32
$30
$16
16
What is the range of the function?
(-3, 0] U (1, 2]
(-3, 2]
[-3, 0] U [1, 2)
[-3, 2)
17
What is the equation of the line?
y = 2(3)x
y = 3(2)x
y = 3(x)2
y = 3(1)x
18
What is the slope?
2
-2
2.5
1/2
19
What signifies a closed dot?
≥ , ≤
( , )
=
< , >
20
What is the first step to solving this system of equations?
Plug variable into the solved equation
Divide both sides by 6 in the second equation
Plug y = x - 6 into the second equation
Plug x = 6y into the first equation
21
What are two ways you can solve a system of equations?
Graphs
Tables
Substitution
Equations
22
What signifies an open dot?
[ , ]
≥ , ≤
< , >
=
23
Where does "b" tell you in the linear function?
y - intercept
slope
x - intercept
growth/decay factor
24
What is the y - intercept?
2.5
5
2
1/2
25
Where is the function decreasing?
[-3, -2) U (0, 1)
(-3, -2] U [0, 1]
[-2, 0]
(-2, 0)
26
What is the domain of the function?
(-4, 0] U (1, 2]
(-3, 2]
[-3, 4)
[-4, 0) U [1, 2)
27
What is the solution to the system of equations
x = 2; y = 4
x = 2; y = 6
x = 6; y = 4
x = 6; y = 2
28
What is the range of the function?
[-2, 3]
[-∞, ∞]
(-∞, ∞)
(-2, 3)
