Vocabulary
Polynomial Division
Rational Expressions & Equations
Inequalities & Absolute Value
Functions
100
A relation in which every input has exactly one output
Function
100
Using long division, Divide 465 by 11. Write the remainder as a fraction
42+3/11
or
42 3/11
100
The value of x that makes 7/(x + 5) undefined.
x = −5
100
Solve and write in interval notation: −2x > 8
(−∞, −4)
100
What are the four ways to represent a function?
Verbally, Graphically, Numerically, Symbolically
200
The set of all possible input values of a function
Domain
200
(27m^4-18m^3-9) divide 9
3m^4-2m^3-1
200
For which value(s) of x is the expression undefined?
v = -8, 8
200
Draw a number line and Interval notation for all numbers ≤ −3 or > 4.
(−∞, −3] ∪ (4, ∞)
200
Determine whether this equation is a function. Why or why not?
No, there are two outputs for each input.
300
A solution that ends up not working because it makes a denominator zero
Extraneous solution
300
(3x² + x − 2) ÷ (x − 1)
3x + 4 + 2/(x − 1)
300
Simplify:
300
Solve:
|x − 3| = 4
x = 7 or x = −1
300
Is {(0,2), (1,5), (2,3), (2,4)} a function? Why or why not?
No. The input 2 has two outputs (3 and 4)
400
If a*b=0 , then a=0 or b=0.
This is called the ...
Zero Product Property
400
(x³ − 2x² − 9) ÷ (x − 3)
x² + x + 3
400
State any domain restrictions and Simplify:
(x² − 8x + 12)/(x² − 4x − 12)
(x − 2)/(x + 2) , with x ≠ 6, −2
400
Solve: 0 ≤ 2x − 1 ≤ 4
answer in a number line, inequality and invterval notation
1/2 ≤ x ≤ 5/2
[1/2, 5/2]
400
Find the slope of the line through (−3, 1) and (−2, −1).
-2
500
the slope of a vertical line
undefined
500
(2x³ − 5x² − 6x + 1) ÷ (2x − 1)
x² − 2x − 4 − 3/(2x − 1)
500
Solve:
x/(x − 3) = 3/(x − 3)
No solution.
x = 3 is extraneous.
500
A bakery sells about 350 pastries a day, give or take 45.
Write the absolute value inequality
what is the min and max?
|p − 350| ≤ 45;
min 305, max 395
500
Find the line through (2, −4) with slope 4.
Give point-slope and slope-intercept forms.
Point slope form: y + 4 = 4(x − 2);
Slope-intercept form: y = 4x − 12