Hello!
A cubic function is in the form of 
.
All cubic functions have a domain of all real numbers, the range also has a range of all real numbers.
Interval notation is used for representing a function/interval as a pair of numbers. Parentheses and brackets are used to show if the endpoints of a given function/interval are included or excluded. Brackets allow the endpoints to be included while parentheses exclude the endpoint.
Our first instinct would be that the domain is written as [-∞, ∞], but that is incorrect. Infinity is not a number, but it is a concept. This means that they are excluded from the domain.
Therefore, the domain of the function f(x) is (-∞, ∞).
Answer: 
Step-by-step explanation:
The first step to solve the exercise is to make the conversion from meters to centimeters.
Since 
, then the dimensions of the wood board in centimeters are:
Now, you must find the Greatest Common Factor (GCF). The steps are:
- Descompose 100 and 60 into their prime factors:
- Multiply the commons with the lowest exponents:
Therefore, the side lenght of each square must be:
B) 12 inches would be the most accurate measurement.
Since the ruler is exactly 1 foot long, the most accurate measurement is 12 inches. 12.005 is a tempting answer, since it is the most specific/exact, but 12 inches is the most accurate, since this is equal to exactly one foot.
y-y1 = m (x-x1) y+3 = (1/4)(x+4) [using point (x1,y1)] or y–1 = (1/4)(x–12) [using point (x2,y2] [let's use this one since you did] To put this into Standard Form (Ax+By=C), y–1 = (1/4)(x–12) 4y - 4 = x - 12 -x + 4y - 4 = -12 [subtract x from both sides] -x + 4y = -8 [add 4 to both sides] x - 4y = 8 [multiply by (-1) to have x-coefficient positive
3x^2 = 7x - 3
3x^2 - 7x = -3
x^2 - 7/3x = -1
x^2 - 7/3x + 49/36 = -1 + 49/36 = 13/36
(x - 7/6)^2 = 13/36
x - 7/6 = + or - sqrt(13)/6
x = 7/6 + or - sqrt(13)/6
x = (7 + or - sqrt(13))/6
