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:
1) 1/6, 1/3, 1/2, 3/4
2) 3/10, 2/5, 7/10, 4/5
3) 1/4. 7/12. 2/3, 5/6
4) 4/15. 11/30, 2/5, 7/10
Step-by-step explanation: Either convert all in a set to a common denominator, or convert to decimal fractions.
Answer:
He is bisecting the angle BAC.
Step-by-step explanation:
First he puts the compass point at point A and draws 2 small arcs at D and E. Then he places the compass point at D and then at E to form the 2 arcs that cross between the 2 line segments AB and AC.
The bisector is the line he can draw between A and the crossed arcs.
(2,-2), (3,-3)
(1,1) , (3,3)
(2,4), (-3,-3)
Here is one way to show that the left side is identical to the right side.
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
