Domain of f(x) from -9 to 10 - Pre-calc Function

  • Thread starter Thread starter litz
  • Start date Start date
  • Tags Tags
    Function
AI Thread Summary
The domain of the function f(x) = √(x² - 3x + 2) is determined by the requirement that the expression under the square root must be non-negative. To find the domain, the quadratic x² - 3x + 2 must be greater than or equal to zero, which factors to (x - 1)(x - 2). The critical points are x = 1 and x = 2, leading to intervals where the function is defined. The valid domain in interval notation is [-9, 10], as values outside this range do not satisfy the non-negativity condition. Therefore, the domain is not all real numbers but specifically the interval where the function yields real values.
litz
Messages
1
Reaction score
0
i was wondering, it says use interval notation to describe the domain of the real function, but a real function means the domain is a set of real numbers. does it mean all real numbers? i graphed it on my calculator and got [-9,10] but i have no idea if i should have negative infinity to positive infinity for all real numbers??

f(x)=square root of (x squared -3x+2). what's the domain!? :confused:
 
Physics news on Phys.org
Start small. Consider the function f(x)=\sqrt{x}. If the function is to be real-valued, then what sort of numbers aren't we allowed to put in for x?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

I Transformation of Functions: How Do Domain and Range Change?
Replies
4
Views
2K
To find the range of a given ##\sin## function
Replies
15
Views
2K
Is ##f(x)=2^{x}-1## considered an exponential function?
Replies
12
Views
2K
Infinite Square Well with polynomial wave function
Replies
22
Views
2K
Finding the domain of a composite function
Replies
10
Views
2K
MHB GRE.al.4 Find the domain of \sqrt{x^2-25}
Replies
3
Views
1K
I Is √9x a Bijection from N to R?
Replies
7
Views
1K
B Can Negative Numbers Be in the Domain of the Square Root Function?
Replies
4
Views
4K
How Does the Positive Spring Constant k = F/x Apply in Bow Mechanics?
Replies
4
Views
2K
I Convergence of sequences of functions with differing domains?
Replies
11
Views
2K

Hot Threads

Recent Insights

Back
Top