Solving Stuff
Graph Problems
factoring/Finding roots
Domains
???
100
2(v+2) + v = 3(v - 1) + 6
No Solution
100
Which graphs represent functions
1, 2, 4
100
x2 - 10x + 16
(x - 8) (x - 2)
100
3x2 + 27x - 13
Write the domain in interval notation
(-inf, inf)
100
What is my favorite Ice Cream flavor?
A) Birthday Cake
B) Oreo
C) Mint Chocolate Chip
D) Strawberry
A) Birthday cake
200
5(6 - u) + 7u ≤ 16
u ≤ -7
200
Find an equation for the line that passes through (-1, -3) and (3, -1)
y = 1/2x - 5/2
200
25 - 9v2
(5 - 3v) (5 + 3v)
200
Write the domain AND range in interval notation:
Domain: (-inf, inf)
Range: (0, inf)
200
√117
3 √13
300
Solve for x:
3x2 = 15x
x = 0
x = 5
300
Find the x and y intercept:
-x + 2y = 8
x-intercept: -8
y-intercept: 4
300
Factor:
12w2 +9w3
3w2(4 + 3w)
300
f(x) = √(9x + 45)
Write the domain in interval notation
[-5, inf)
300
f(x) = (10-4x2)/x2
find f(4)
-27/8
400
Use the Quadratic formula to find x:
4x2 +5x - 2 = 0
(-5 + √57) / 8
(-5 - √57) / 8
400
Use substitution to solve the system:
y = 2x + 7
-3x + 2y = 11
x = -3
y = 1
400
Factor:
15x2 + 13x + 2
(5x + 1) (3x + 2)
400
(x + 8) / (x2 + 11x + 24)
Write the domain in interval notation
(-inf, -8)U(-8, -3)U(-3, inf)
400
When looking at the domain of a function, what is it that the domain represents?
All input values that will result in a valid, real number output.
500
A phone company offers two monthly plans. Plan A costs $13 plus an additional $0.18 for each minute of calls. Plan B costs $23 plus an additional $0.14 for each minute of calls.
For what amount of calling do the two plans cost the same? What is the cost when the two plans cost the same?
250 minutes
$58
500
Use elimination to solve the system:
-9x - 2y = -18
3x + 4y = -24
x = 4
y = -9
500
factor:
2x2 - 13 x -24
(2x + 3) (x - 8)
500
√(14 - 2x)
Write the domain in interval notation
(-inf, 7]
500
When working with rational and radical functions? WHAT do we set to WHAT and WHY doe we set it to that? (answer for rational and radical)
Rational: set denominator = 0 because you can't divide by 0
Radical: set inside of radical ≥ 0 because you can't have a negative root