Interval Notation: f(x) > 36 for x < 21

  • Thread starter Thread starter shoook
  • Start date Start date
  • Tags Tags
    Interval Notation
AI Thread Summary
For the function f(x) with a positive slope, the values where f(x) > 36 correspond to x < 21. In interval notation, this is represented as (-∞, 21). The confusion arises from the interpretation of the slope; since the function increases, values below 21 will yield f(x) greater than 36. The discussion clarifies that the correct interval reflects the condition of f(x) being greater than 36 for x values less than 21. Understanding the relationship between the slope and the function's behavior is crucial for accurate notation.
shoook
Messages
23
Reaction score
0
I am working with a linear line with positive slope, the points are given.

1. In interval notation write for which values f(x) > 36



2. At f(x)=36 x=21



3. I think it should look like (-inf,21)
 
Physics news on Phys.org
Why not (21,inf)? It has POSITIVE slope.
 
I thought it should be -inf because it asks for all values below 21, not above... what do you think?
 
Looks to me like it's asking for where f(x)>36. Draw a line with positive slope and having f(21)=36.
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

Find the domain and the range of ##f-3g##
Replies
3
Views
2K
Question about fractions
Replies
10
Views
2K
Interval notation of function's domain question
Replies
1
Views
2K
Query about how the domain of a binomial coefficient was calculated
Replies
2
Views
2K
Understanding the graphical effect of f(x+a)
Replies
19
Views
2K
Is ##f(x)=2^{x}-1## considered an exponential function?
Replies
12
Views
2K
Pre-calc related question for the interval of a solution
Replies
11
Views
2K
Finding range of a function using inequalities
Replies
2
Views
1K
Find the range of the function ##f(x) = \frac{e^{2x}-e^x+1} {e^{2x}+e^x+1}##
Replies
8
Views
3K
Where Do the Graphs of |3x-2| and 1/x Intersect and Diverge?
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top